Did I play against this Gambit sound?

I just finished this on Blitz and his opening threw me for a loop. I felt like I play unsound moves and it left me in awkward positions. My opponent ended up resigning in the end do to a blunder. I still don't think his position was horrible when he resigned, even though he was down material. So what do you think? I am white

[Event "RHP Blitz rated"]
[Site "www.redhotpawn.com"]
[Date "2010.1.5"]
[Round "?"]
[White "USArmyParatrooper"]
[Black "elgallo"]
[Result "1-0"]

It's the Budapest Gambit, not uncommon. You waste time playing 7. h3 because he's going to win back the pawn with Ngxe5 anyway. Play 7. e3 instead, and press on with your development. Otherwise, you played it OK. He was lost when he resigned - a rook down and another piece dropping

The most principled line against the Budapest is 4. e4, but that takes a knowledge of theory that isn't gained easily. The first few moves that you played are safe and fine.