While playing through the Campaign, I kept a list of little (emphasis on "little") complaints to keep myself occupied. From my (very limited) coding experience, I can't imagine they (EDIT: well, most of them) would be difficult to fix. I'm not an expert in the English language, so I may be wrong on a few of the proofreading complaints; in that case, I'm very sorry. Halfway through the campaign I updated from 1.06 to 1.07. I don't think 1.07 changes the Campaign at all, but I've separated 1.06 and 1.07 issues just to be safe. Not everything here is Campaign-unique (though most of it is); it was just compiled while I played the campaign. Hope something productive can come of this.
With all that out of the way, here we go!
Version 1.06:
Chapter 1
-The Chapter 1 splash page (I think it was the splash page) says "Relias's" instead of "Relias'."
-Needs new responses when meeting Janusk and Miramous, if possible. "Excellent. You will make a fine addition to our Kingdom" doesn't make sense in-context. Similarly, Relias' "King of Altar" title seems weird fresh from the shipwreck.
-It's a bit odd that Miramous has no abilities save for a high Intelligence, despite Procipinee supposedly wanting to recruit him for his supernatural prowess in the fields.
-At one point, a tutorial suggesting to use Imbue Champion on Miramous would make sense. His old-manniness makes him better suited for spellcasting than anything else.
-Path of the Forest Bandits' Hiergamenon entry says "unweary traveler" instead of "unwary traveler."
Chapter 2
-The first dialogue with Procipinee says "fools errand" instead of "fool's errand."
-The other factions seem remarkably puny, with a fancy Town Square surrounded by unclaimed resources. Is there any reason they can't have proper cities? Something to wow the player compared to their own fledgeling settlement?
-Fenri don't have a Hiergamenon history apart from Wolves. Not sure if that's intended or not.
-Darkling Supremes don't have a Hiergamenon history apart from Darkling Toadies (including the "subservient to a more intimidating Darkling" bit). Not sure if that's intended or not.
-The "The Cleansing of Polis" message box starts a sentence with "but." I don't know enough about English to say if it's technically appropriate or not, but it struck me as odd.
-It's possible to slip past the trigger zone for the "Queen of New Pariden" quest update and have it run at a later point when you're just passing through.
-The "Noblemans Warning" quest update should be "Nobleman's Warning."
-The "Writ of Passage" message box is a run-on sentence.
Chapter 3
-The "Gifts from Home" message box has "the notion of being praised as such humors him" instead of "honors him."
-More a matter of personal preference, but you might consider spawning the Skaths and letting Relias collect the map from the ship before Markinn demands proof.
-The Ship Wreckage Hiergamenon entry says "scattered about on the southern beach of Gildar" instead of "Gilden." The messageboxes and map don't suggest Gildar is a place.
-The Waterlogged Map can be used for what appears to be no effect, causing it to vanish from your inventory. It doesn't seem to affect the plot, even if you discard it before showing it to Markinn.
Misc
-Relias' Hiergamenon entry says "wondering thieves" instead of "wandering thieves". Also "sees to protect those in need" instead of "seeks."
-Relias' quote (the Kingdoms must work together) has no quotation marks, and doesn't end with a period.
-It looks like, when starting a Campaign, it still generates a random world name (mine was called Rase) that appears when loading.
-You can't click through the unit card that appears in the bottom right of the screen. This is particularly annoying when using the default camera during a battle and trying to hit the enemies with ranged attacks right-off.
-A newfound settlement's Hiergamenon entry blocks the fancy "revitalizing land" animation.
-Casting Imbue Champion on an army of more than one Hero doesn't allow you to pick which one you want Imbued. In fact, it seems to select the champion psuedo-randomly (Move Janusk on to Miramous' tile and cast, Imbues Miramous. Reload and try again, Imbues Janusk).
-The game's terrain definition of "Cliff" seems to be an ordinary tile of ground that cuts to water at its edge. With this in mind, it seems silly that units can't walk on cliffs.
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Version 1.07:
Chapter 4
-It's possible to slip past the trigger zone for the "Hope of Tarth" quest update and have it run at a later point when you're just passing through.
-The game assumes you hit the Trolls in the order you reach them, and will provide dialogues about returning to Lady Irane, mission accomplished, even if you defeated the third troop of Trolls before the second. You still seem to need to defeat all three to advance the plot.
-The Lurk's Hiergamenon entry says "Though weaker than other demons they, still yearn for the souls of Men" instead of "Though weaker than other Demons, they still yearn for the souls of Men." Also, the capitalized Men seems to imply that they don't yearn for the souls of Fallen, but I don't know whether that's the case or not.
-The second half of the Troll's Hiergamenon history is a run-on sentence.
-The "The Awakening" quest update says "Chapter II," when it should be Chapter IV.
-The "Magic Understood" message box (right after The Awakening) says "aide" (one who aids) instead of "aid."
-That Old Well is a gigantic tease. You can barely reach it, and nothing happens when you do. 
-The Troll Cavern description mentions "several troll warriors" when there's only one troll there.
-The "The path made clear" message box refers to Lady Irane as Lady Tarth. Not sure if that's intended.
-Most of the Chapter 4 quest updates refer to it as Chapter 4, where the chapters are listed as Roman numerals in other places.
-The Familiar's quote says "I am bonded to my master" instead of "bound."
Chapter 5
-The "Heading North" messagebox says "along side" instead of "alongside"
-The "The Defenses Wane" campaign update has Carrodus saying "To see man fall before these twisted things is a terrifying sight." Should probably be "a man" or "men."
-The "Battle Looms" messagebox (right after The Defenses Wane) says "a vile band has made there way" instead of "their."
-The "The Kings Messenger" location should be called "The King's Messenger"
-The Uberdroth's quote says "My lady is dead but her vengeance rings true within me" instead of "dead, but."
-The Obsidian Golem's quote says "Created to Destroy." Not sure if "Destroy" should be capitalized.
-The Drake's Hiergamenon entry says "an intelligent creature," but its Intelligence is 1.
Chapter 6
-The opening "Conspiracies" quest update says "With a cry of equal parts terror and fear", which seems weird. Anger and fear? Grief and fear, maybe?
-Chapter 6's general plot assumes you have Janusk in your party. This isn't the safest of assumptions, since Janusk is rather a weakling by that point in the game. I know the dialogues remain unchanged if Janusk isn't in your main party, but I have no idea what happens when Janusk dies (which isn't unlikely; the trolls in Chapter 4 can one-shot him if you haven't dumped a bunch of experience into Constitution. I lost my Chapter 4 Completed save, and you'll have to forgive me for not playing through the whole thing again)
-The Banished's Heirgamenon entry says "Some of the most horrific creatures ever to step foot on Elemental" instead of "set foot."
-The first pair of footprints mentions heading north when it's more of a westerly direction.
-The "The Scholar of Krandir" quest update says "vessels with Black Sails", where "Black Sails" doesn't really have a reason to be capitalized.
Chapter 7
-The Tidebreaker and Lady of the Sea's quotes say "To unknown and beyond" instead of "to the unknown."
-Merchant caravans can trigger the "warning the Kingdoms" dialogues early.
-If you leave Relias against the Enchanted Gateway, it will replay the quest update every turn the troops on the other side land.
-The Kings Guardian unit should be named King's Guardian.
-Tarth and Capitar's contributions to the war are pretty pitiful. They all get instakilled by the two Arcane Dooms right-off. Could they at least know how to group their soldiers into squads?
Misc
-When selecting an army, it adds an "S" after the apostrophe, even if the leader's name ends with "S" (Lord Relias's Army). Similarly, unit production could be benefitted by checking for a key word or two so a troop of Swordsman units isn't considered a unit of Swordsmans.
-The caravan quote (The gold of the Kingdom and the Empire looks the same to me) seems weird. Peraps "Kingdoms and Empires" or "Kingdom and Imperial gold?" "Look" instead of "looks?"
-In battle, if you select a unit while another unit is vacating a square, the new unit's movement range doesn't update to include that square until you move or reselect the unit.
-The Familiar's Hiergamenon history says it's formed of the very essence of a caster, but it only costs mana to summon.
-It seems like there's no way to edit your units' description, and looking at a custom unit in the Hiergamenon will give it the description "a peasant with a stick."
-Occasionally, when loading a Campaign save, the game will display a randomly-generated world name on top of the screen instead of the chapter.