Poker Stars, $0.05/$0.10 No Limit Hold'em Cash, 4 Players

BB: $18.27 (182.7 bb)
Hero (CO): $12.48 (124.8 bb)
BTN: $10.10 (101 bb)
SB: $19.38 (193.8 bb)

Preflop: Hero is CO with K A
Hero raises to $0.25, 2 folds, BB calls $0.15

Flop: ($0.55) A 4 2 (2 players)
BB checks, Hero bets $0.36, BB raises to $1.20, Hero calls $0.84

Turn: ($2.95) Q (2 players)
BB bets $1.96, Hero calls $1.96

River: ($6.87) A (2 players)
BB bets $2.29, Hero calls $2.29

He was a tight aggressive player. Would you have called his bet on the turn and river?