Budapest Xmas Open 2012 Rd5

Here's my rd5 game. I was winning for a large part of the game and then received a shock on the last move of the game.

Reader's comments
'You should at least say that 63. ... cxb4 ?? is the Blunder. The answer 64.Qf7 would have been more striking...And your comment "wins the trapped bishop" is funny. Why on earth shall someone win this useless bishop?'-Thomas Heyl

Toth,A(1578)-Yip,M(2075)
Philidor[C41]
Xmas Open (5), 29.12.2012

Position 1
Black has a great positon. White is playing without Ba2 and has a completely static pawn structure. How should black continue?


Black to Play

51.Ne3

Position 2
Things look bleak for white. Black threatens ...Qa3# and is a pawn up with a fantastic knight. What should white do?


White to Play

69...Ke5

(3am-Dec 30 2012: Analysis of late stages updated.)