They so need to add: "Go build the perfect BuzzerBeater team... go Gators!" to the Gator Nation commercial that plays approximately 180 times during football season. ;)
Anyway, what you'll definitely want to do is decide if you're going to train guards or big men. The way that the training works makes it infeasible to try to do both. Right now, really, you have nobody that's a particularly good trainee, either because of low potential (Flint/Thurston), low starting skills (Vigil) or not really enough skill to justify training someone their age (Herbert and Sergi, plus I suppose everyone else).
But the good news is you're far from having messed up your roster! You've probably spent a little more on the TL than you'd like to have done, but you didn't pick up anyone with an absurdly high salary that will torpedo you. Carlofelice will experience skill drops much faster than you'd like, but until he sucks too much to play, he'll certainly work out.
If you decide to train big men, it might make sense to try to move Carlofelice before the playoff deadline, with the hopes that someone will give you close to what you paid for him. If you train guards, or want to keep him around for a playoff run, by all means keep him.
If you just got the team two weeks ago, you're probably not going to have enough skill points to scout the draft really well. What you might want to do is make small investments in scouting points to try to save for next season, and try to set aside money to pick up your foundation trainees next season after the draft. While you won't be able to buy an 18 yo MVP potential guy with a 5k starting salary, decent players with star or allstar potential are great startup trainees (though, if you can get more potential in your budget, go for it!).
The best advice I can give is that you don't want to spend too much money early on, especially on bringing in players, and even more especially if their salary is more than about 8k. You want to definitely focus on improving the arena, and when you do bring in players, if they're not in your training positions, try to get veteran players with nice secondary skills. A center's handling, passing, and OD doesn't really show up in the ratings shown in the box score, but it's definitely helpful to have. If you get a few well-balanced vets to play at SF plus the two other positions you don't train, buy decent starting trainees and train them effectively, manage your game shape and enthusiasm well, you should find yourself moving up to IV before you know it.
