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There are a lot of good chess players on this site, I'm sure a few of them will help you out. Good luck.
11) Qe7 protects the knight and the pawn. d5 can wait a move, but I think you still want it.
13) Be6 idea makes sense but its a poorish square and you will have to move the bishop again I think. Bf5 seems slightly better, turning him into a guard for your king and keeping the files open for queen and rook. Also if you were looking to fork if he moves his knight, forcing a queen move ends that idea. The fork is an issue here, he can't develop for that threat keeping a knight and a rook out of the game for a little longer.
Qe2 shares a diagonal with your bishop. Look for a way to skewer it.
14) Bxh3 seems bad. You don't have the backup to do anything with it? Well, let me wait and see, but looking at it the first time at 14 it seems like a piece for nothing. As you said white takes your rook gives white a rook, a knight, and a bishop for a queen & a pawn -- thats a lot of material.
17) Qf6 maybe, again the longer you prevent his knight and rook from coming into the game, the better. You can afford to lose a pawn if you can get your rooks enabled to attack.
Q trade helps white. Your pieces are weaker than his now, and he wants to make his pawn go places. The pawn is not passed, so you do not need 2 rooks dedicated to watching it. 29)Rb2 is probably better -- you need to take the offense somehow.
31 Ra2? There may be a way to trap the knight but I don't see it. Attacking it is enough, its a tempo. Tip: keep the rooks on opposite colored squares and they cannot be forked, so when picking a square and they all seem equal, that can be a factor to consider.
time pressure endgame ... sure there were better moves but in a time crunch its not worth comments for every little thing. 42, Rf5 maybe? I think that wins the pawn and frustrates his knight attacks. 46) Rxf! If his rook takes your pawn, KxN! I think this works, did not look much deeper though, but take a look. 52) Kc3 looks really really good? He can't drag his king over, your rook comes to check. Knight moves, king attacks the rook. I think he will have to trade rook for the pawn? 59) go ahead and move king toward the pawn, looking to rook check and capture the pawn.
Simple draw is a good idea here in a time crunch. Its probably a complex draw anyway, but I think you had a win or were very close to it, just ran low on time to find some better ideas in the late game.
@jonnin, false. On 11...Qe7 12.Bxf7, gaining the pawn back.
I liked 13...Be6, Bf5 doesn't really have a purpose to it, the fork is a non-issue as White has two knights defending d2, after 14. Qe2, Be6 is a nice move if Black had followed with 14...Bd5 with various threats and pressure along h1-a8 diagnol.
60...Rg3 looks good to me and then just move the king in, the win shouldn't be that hard
Thanks so much for the comments Jonnin and alexanderjiang, very instructive! I didn't realise I could actually win that endgame, thanks for pointing that out! Played it out against the chess.com computer (2000+) from move 60. Rg3 as suggested and it quicky turned into a K+R vs K endgame.
11) right. It defends the pawn, and if he takes it, you are equal again (QxB, QxN). Both ways work, both defend against the Bxf7 attack. Dunno that my alternate was "better" just saying its an option to consider.
13) Sure. I was just looking to keep the rook and queen cleared to try to hit the 2nd rank if possible. Again, not "better", just alternate thoughts to consider. The bishop is better where you put it, for sure. My move was not about defending a non-threat fork, it was about trying to get a line on his king (maybe there isnt one yet).
60) I think its drawn regardless if either player wants to play for a draw. If both play for a win it could get a little crazy. My line also draws, Kg6 etc.