how should I play this hand?

Hand converted with online PokerStrategy.com hand converter:

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$0.1/$0.25 No-Limit Hold'em (6 handed)

Known players:
[tg]BU$14.25:///////;SB$30.73:///////;BB (Hero)$37.52:///////;MP2$23.12:///////;MP3$93.27:///////;CO$33.85:///////;[/tg]

Preflop: Hero is BB with K:h, A:h.
MP2 folds, MP3 raises to $0.75, 3 folds, Hero calls $0.50.

Flop: ($1.6) 8:d, 5:d, K:s (2 players)
Hero checks, MP3 bets $1.00, Hero raises to $3.40, MP3 raises to $7.25, Hero calls $3.85.

Turn: ($16.1) T:c (2 players)
Hero checks, MP3 checks.

River: ($16.1) 6:h (2 players)
Hero checks, MP3 checks.

Final Pot: $16.1.
Results follow:

Hero shows a pair of kings(K:h A:h).
MP3 shows a pair of kings(Q:d K:d).

Hero wins with a pair of kings(K:h A:h).

his stats in 61 hands　vpip20 pfr10 af1,5 wtsd38 w$sd33

I thought 55 and 88 are possible so I just called and tried to reevaluate on the turn.
should I just have gone to all in on the flop?