SB: 234 BB
Hero (BB): 107.6 BB
UTG: 107.8 BB
MP: 74.6 BB
CO: 100.6 BB
BTN: 67.2 BB

SB posts SB 0.4 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has Qc Kc
Pre Flop: (pot: 1.4 BB) MP has Kd Ad
fold, MP raises to 3 BB, fold, fold, fold, Hero raises to 10.6 BB, MP calls 7.6 BB

Flop : (21.6 BB, 2 players) Ks 6h 9s
Hero bets 8.4 BB, MP calls 8.4 BB

Turn : (38.4 BB, 2 players) 5s
Hero bets 18.4 BB, MP raises to 36.8 BB, Hero raises to 88.6 BB and is all-in, MP calls 18.8 BB and is all-in

River : (149.6 BB, 2 players) 3d

Hero shows Qc Kc (One Pair, Kings)
(Pre 29%, Flop 14%, Turn 7%)

MP shows Kd Ad (One Pair, Kings)
(Pre 71%, Flop 86%, Turn 93%)

MP wins 142.2 BB

I ended up value owning myself. Is flatting a 3-Bet with AKs something to keep in players ranges at the Micro's? Also which street should I have slowed down on?