Disclaimer: this is a quick and dirty analysis.
game 1:
On 6.Be2, I would castle or play ...b6. It is unlikely that the other guy will play a3, but you don't lose anything either. (6.Be2 0-0 7.Bd2 is nothing to be afraid of).
In case you are not aware, the standard plan in those doubled-c4-pawn positions is ...Na5 and ...Ba6 to force two white pieces to defend that pawn. This is probably the reason for 10.Qa4 (to distract the bishop from the good diagonal).
I am not sure that playing the skewer was such a good idea, since it leaves the f4 knight play a crucial attacking role. Of course, it is easy to be wise after the event...
game 2:
10.dxc5 looks like a mistake to me. The resulting position is a Caro-Kahner's dream (weak white pawns for not much). Isn't Bd3 forced? I am not familiar with those Nb5 lines.
Your sacrificing sideline with 16.Nxe6 looks very dubious. For instance 19...Nf6 20.Bg5 Kd6. I don't see how you expect to win the piece back, and Black will eventually untangle the kingside.
What's the problem with 21.dxe3, exactly? [edit: nevermind - you still lose the piece to the "backward pin" - it is no worse than the game though] After that I can imagine Black surviving with the plan ...Nd7-f8-g6 and then move the other knight. I don't even see how White can take advantage of that time to take b7.
Just yesterday I participated in a 1 day, 5 round, G/40 with 5 second delay swiss tournament (over the board, not on the internet). Here are 2 of my games. Analyze, critique, and comment!