Hand Evaluation

[bigchips]

Please correct my examples below if they are incorrect.

High Card:
A6 vs A5 Community: KJ982 = Tie
A6 vs A5 Community: KJ932 = A6 wins

Pair:
A7 vs A6 Community: KKJ84 = Tie
A7 vs A6 Community: KKJ54 = A7 wins
A7 vs A6 Community: AKJ84 = Tie
A7 vs A6 Community: AKJ54 = A7 wins

Two Pair: (seems to not evaluate the best 5 cards but maybe I'm wrong)
K7 vs K6 Community: K8843 = Tie? (Why doesn't the K7 win?)
A2 vs K2 Community: QQJJ5 = A2 wins?