It's pretty close to a good start.
Step one. Check VWs reply and make those adjustments. Legal lists are important
Also, always tell us what lore your wizards have. I love lore of light with state troops + flagellants. If I am using greatswords, then I prefer life or metal. Reason being that lights uber-spell doesn't do quite as much for greatswords. Greatswords are better grinders than flagellants, and so I like to resurrect them and make them toughness 5/7. Or give them 2+ armor saves and hex the unit they are grinding on.
The arch lector is awesome. The
bsb is awesome. You didn't over-invest in war machines. Doing so can lose you a lot of games. VW didn't mention it, but your wizard has two arcane items. Drop the scroll. Rod of power is amazing, especially coupled with the extra dispel dice granted by the arch- lector.
For state troops I think you have two options. Either run them 50 strong, or run them 35 to 40 strong and utilize 5 man redirector detachments. Proper use of redirectors can give you an entire extra round of shooting. With redirectors you do run the risk of making a mistake or facing an opponent that can swiftly eliminate them. My thinking is that anyone who can quickly take out redirectors can also thin out the bigger state troop blocks.
So my advice to you on your core would be to run either 50 man units or 40 + 5 man units. Also, as VW pointed out, detachments don't count towards minimum core. So make sure you've spent your 25%. After that, I always like to make my handgunners detachments. I like to finish deploying first so I can get first turn with my warmachines, and detachments help me do that. Also, no panic tests when they run or die is nice!
Hope that was helpful.