Game1:
I think you were doing well the whole time :) Like on move 14 you said you could have sworn you were winning, but you're still a rook up!
Move 8 you made the right choice, Bd2 and you have a double attack (on his queen and rook).
Ouch, that premove was painful, like you said at the end, it was a draw but no time left... but you get revenge in game two!
Game 2:
Did you realize after you lost your queen 11...Qxe1 12.Qxe1 that by the point count... you're ahead by a point! Don't let the queen blind you, you got two pieces and a rook for her, that's more than enough if everything else is equal.
You criticize your 16th move, but you win a pawn because of it, and now you're 2 points up! Black is winning!
Hmm, I don't see the mate. For move 18 I see Qe8+ but after Rf8 to block it I'm not sure how it helps white.
On move 29 Nd3 stops checkmate without losing the knight :)
I think this happens to everyone, but I wanted to show you 2 games of mine, where you think you are just destroying the opponent (in the first game) and you lose---and the other where you think you have been getting destroyed (in the second game) and you win. (NOTE: The two games below are 5 minute live blitz games)
BTW-------did you notice in the second game, the checkmate at move 18 that white missed? See if you can find it.
By all means, show me some of your incredible comeback games...
Also, check out my blog post about a genius grandmaster who makes one of the most legendary chess-comebacks in the planet !!!