It looks to me like he’s only guilty of a poor choice of words. He should clarify that he was offered the chance to apply for a slot, not that he was offered a slot.
The fact that he plainly states he only applied to one school (not West Point) is the key point here. It refutes the notion that he’s been claiming he was accepted by West Point, since he didn’t even apply to them and says as much. But his wording was unfortunate, I’ll grant that.
I agree 100%. It is not unreasonable to think that he has staffers handling his FB posts as he does with his Twitter feed. If so, the choice of words would be their mistake not his. He has never used those words himself that I can find.