I played this game on FICS, against a slightly higher rated player. He blundered away a piece in the opening, but I blundered away my rook near the end. Should I have offered the draw? There was time pressure, so I did, but is there a way to convert my advantage?

I think you could've won the game...

at move 30...- i noticed a tactic: Be4, wining the rook.

and then you have better and more pawns, 29...-g5 does not help much after the f1 rook moves, so it comes down to the tactic.

why not on move 28 bh2 kh1

Qxf1

can't you play 24. QxN?

26... Qe5 wins the exchange due to the mate threat (27 f4 Nf3+ or ... Ne2+).

yea 26... Qe5 wins the exchange and then on from there the game.