EBF does anything with Seastrunks character concern you? He hasn't always had the best attitude, was in the doghouse a bit last year. I watched him for 4 years in High School and he was in and out of trouble then too.
I honestly don't know much about it. It's a little weird that he transferred out of Oregon, but somewhat understandable given that they had LaMichael James going bonkers at the time. He also didn't open the 2012 season as the man in Baylor's backfield, which could point towards focus/work ethic issues. Certainly he was the most talented all along.
I've not heard anything about him being a big knucklehead, so I'm going to assume that any issues there are relatively minor. These kids are still really young and some of them will make mistakes as part of just being flat out immature.
Didn't "Shady" McCoy get tossed from one of his recruiting visits for punching another kid? These kids will do stupid stuff. Unless it's severe or a pattern of destructive behavior, I wouldn't worry too much.
I'm also assuming that the NFL teams are going to do their homework and that whatever they uncover will be factored into his draft position. A lot of spotty character guys have been downgraded in the draft (Hernandez, Marshall, C Henry, Da'Rick, etc). Sometimes they slip through the cracks ala Pacman, but I'm going to assume that if teams rate him as a 1st round pick then they're probably not too worried about him from that standpoint. If he slides, obviously you'd start to wonder a little bit.