I'd like to share my opinion on those 2 classes, but i'm also interested in what you think, so let me know if i'm wrong.
So I don't really understand why Inq starts with Necro(for lifesteal, maybe?) AND a staff. And here's why: to make use of almost all Necro spells you need to take down physical armor(Decay and Shackles being 2 most important for me), but you deal Magical damage instead. Warfare also increases your physical damage, and somewhat relies on CC which is physical-based.
My suggestion would be to give a Inquisitor a nice 2-handed sword\mace or maybe even dual axe like battlemage has and instead of +int maybe give some +const.
Really, Battlemage is like visa-versa. He gets some nice axe, but his spells are elemental. So it would make much more sense for a battlemage to start with a staff.
And yes, i know that i can create and change whatever and however i want, and those classes are basically your starting equipment, nevertheless those changes could help some new players with character creation.