In game 1, I believe that 42. Kd5 is a mistake. The idea behind the move seems reasonable: Use the king as a defensive piece to protect the threatened pawns. However, with such a huge material deficit, playing passively will only delay an inevitable loss. White should have tried to create some counterplay involving the dangerous d6 pawn. 42. Kxf6 snatches up a pawn, creates another passed pawn for White, and kicks the knight on g6, allowing White's king access to the e7 square.

Remember: when you're ahead in material, try to extend the game and consolidate to a winning endgame. When you're behind in material, create immediate threats.

2.exd5 is far superior to 2.e5.you should play that.

here's my attempt at some analysis (good practice for me)

1. e4 d5 2. e5 d4 (Is this a known variation? I don't get it) 3. Nf3 Qd5 (Nc6 looks safer) 4. c3 Bg4 (Anything wrong with d3?) 5. cxd4 Bxf3 6. Qxf3Qxf3 7. gxf3 e6 8. Rg1 (You didn't like this move but I think it's solid) g6 9. Nc3 Ne7 10. Bd3Nd5 11. a3 (I like Nxd5 followed by f4 and f5 better) Nxc3 (?? Horrible horrible horrible..Nf4 begged to be played) 12. dxc3 Be7 13. Bh6a6 14. O-O-O Nc615. Kb1 Na5 16. Bg7 (? This doesn't accomplish anything) Rg8 17. Bf6 (?? Tripled pawns? Really? Now white is close to lost as the knight dominates the bishop in this position) Bxf618. exf6 h5 19. b4 Nc620. Be4 Kd7 21. Rg5Rad8 22. Rdg1(? Where is this rook going? White's only possible chance is a d5 break) Kc8 23. f4 Rd6 (?? Loses a pawn and probably the game) 24. f5 exf525. Bxf5+ (Rxf5!) Kb8 26. Be4Rxf6 27. f3 Ne728. Rc5 (Maybe Re5 instead?) Rd8 29. Rgg5 (Rooks aren't well placed like this)Rdd6 30. Kc2 Rde631. Kd3 b6 32. d5 (?? Losing - as you mentioned) Rxe4 33. fxe4 bxc534. bxc5 Rf2 (Allows white way too much play.. but oh well) 35. d6cxd6 36. cxd6 Nc637. Kc4 f6 38. Rxg6?? (Of course you're forked but with 38. Rc5 Ne5+ 39. Kd5 etc.you can hang on and hope your d pawn can turn into something) Ne5+ 39. Kd5 Nxg640. Ke6 Kc8 41. c4 Rc242. Kd5 Nf4+ 43. Kc5Kd7 44. h4 Ne6+45. Kd5 Rd2+

Second game (Just the highlights)

2... d4  What is up with this opening? 

8... Nxd4?  A good tactical trick everyone should know. Happens in some French lines.

10.Nb3   Fine but I don't see anything wrong with Be3.

11. a3 slight waste of time but nothing too major.

13.  Nc5  This is in fact an error.  You should always wait until completely developed before attacking (Unless there's a specific tactic).  You're still winning of course.

16. Bxc5  well loses.. but kind of a hard tactic to see.. I may not have seen it.. 

17 .Qg4.. Maybe just Qc2 holds better.

21 ...Bd7  Just Bxg2 followed by Rf8 wins for black.  

He has to get out of check first.