You have a family crest? Holy crap... That's awesome.
Okay about the list, I can see why you want to put in a griffon and I want to test one myself. But I would probably not give him a runefang as the general only has 3 attacks. Consider some improved protection, white cloak is really good as the -1 to hit also applies to the griffon. Charmed shield can save him from cannon balls. Mounting him on a griffon gives him an 18" Inspiring Presence range, which is really good.
If you bring a general, don't bother with a grandmaster. You need some magic, for defense and offense.
BSB is a necessity, definitely want him in there.
Priests are great tools, probably should keep then cheap as you have done.
Swordsmen aren't very popular due to being very expensive. Should also go all out horde or just take ranks of 5, so 35 models in 5x7.
Halberdiers are considered to be the best state troops due to S4, but they have very little defense.(That's why their name has "-diers" in it) Don't bother with shields, they can only be used against ranged attacks as halberds need 2 hands.
Any kind of knights are probably empires best tools, maybe split them up in to 2 units of 5. Inner circle are great, also consider mounting your BSB for more armour and the knights durability.
Handgunners aren't great. Expensive, very good weapons though, but they have trouble hitting stuff with only a lowly BS of 3. That said, people prefer just plain archers, as they are cheaper and skirmishers, bring weaker weaponry though.
Huntsmen, oh boy... These guys are special and pretty much the worst choice in there. They have nothing archers don't have (expect scouts, but that doesn't really do much for WS3, BS3, S3 guys) Never have I played them, nor will I ever play them.
Consider trying Outriders instead of handgunners and huntsmen. They shoot more, they shoot better, also have the best bs of the empire at 4.
Cannons are great, never leave home without one. Mortars not so much, only S2, not good.
Demigryphs are the best special combat choice, nothing to say about them. 4 is the optimal size.
Tanks are amazing, bring one whenever you can.
Helblasters can be really good, you should buy an engineer for it, always. Rerolling a single artillery dice is huge and you also get to shoot at BS4.