The two states wont be an issue because each of your W2's will have state tax on them so TT will know where to put them. If you didn't move this year and were just border hoping then it should be ok.
All you need from school is your 1099-T which shows how much you paid, scholarships etc., and is easy to plug in. If you had some sort of 1099-Q (Think Health Savings Account but for school) it gets a little more complicated but not undoable.
Starting the new IRA is fine as all you need is the 1099-R and shows what you contributed, the tax etc.
Where you run into problems is the rollover ESPECIALLY if it is from a simple/traditional to a Roth or vice versa as there is all kinds of things you need to do with taxing now, later, etc.
The TL;DR of it is if you didn't have the rollover I would just do TT but with that, (adjusts his glasses and coughs) I would see professional help
As a sidenote for all of you out there thinking of getting an accountant never NEVER go to one of the big 4 or "big firms" unless you run Microsoft or something. It is always in your best interest to seek a local "mom and pop" accountant. Now with that said, try to find an accountant who has an office somewhere and not doing it out of his house unless you know him VERY WELL as the possibility for fraud / fuck ups is insane. Look for someone who bills anywhere from $100-$225 ish an hour. Any more then that, and you are just:
A return like yours would take me at most 30 minutes or so and I bill $125 an hour but keep in mind that if you go through an office, there are admin / overhead costs that get added in as well.
Fuck HR Block
edit: I fail at adding gifs.