Why do you asume Squall must have been carried to the infirmary. As far as I could see he was perfectly able to walk by himself.
And Seifer only took down Squall because he was using a move not allowed in training. (pretty weak if you ask me) It had caught him off guard. Although I admit, he shouldn't have let people surprise him like that. SeeD's should be able to handle any situation.
Well, the reason I assume this is cause Squall is pretty much unconcious in the infirmary. Now there is a slight chance that he walked ALL the way to the infirmary himself while dripping in blood and he THEN passed out, but I dunno, I just find that doubtful. I mean, if that were true, then Seifer would've been passed out with him, which he isn't. I'm assuming that while Squall also managed to land a hit, he did so later and probably already fainted/passed out due to blood loss.
I don't really think so, but again, it's speculation based on what we saw. In the intro for FFVIII, It seemed like they were BOTH pretty serious in the fight. Seifer was obviously loving it, and just before getting slashed in the face, Squall is pretty much on the offensive, before Seifer blasts him with that Fire spell or whatever else it is that he uses.
The rest, I pretty much agree with. Fair points, and I guess there's no sure fire way to prove who's right or wrong here, but I speculate that THIS may be the case (what I just stated XD)