Check/Call or Raise?

[ix.spider.uk]

Poker Stars, $0.10/$0.25 NL Hold'em Cash Game, 6 Players
LeggoPoker Hand History Converter

SB: $24.75
BB: $24.65
UTG: $9.50
MP: $24.50
Hero (CO): $14.65
BTN: $53.35

Pre-Flop: A K dealt to Hero (CO)
UTG folds, MP raises to $1, Hero calls $1, 2 folds, BB calls $0.75

Flop: ($3.10) 7 Q K (3 Players)
BB bets $2, MP folds, Hero calls $2

Turn: ($7.10) J (2 Players)
BB checks, Hero checks

River: ($7.10) 3 (2 Players)
BB checks, Hero checks

Results: $7.10 Pot ($0.30 Rake)
BB showed T K (a pair of Kings) and LOST (-$3 NET)
Hero showed A K (a pair of Kings) and WON $6.80 (+$3.80 NET)

Is this a call/check because of the board/chances he has two pair/trips etc or should I reraise flop/value bet turn or river? Have no reads on villain I only just joined the table.