NL5 Zoom - AKo

Villains:
BB - 13/7 - 56 hands
CO - 24/0 - 21 hands

PokerStars - $0.05 NL ZOOM - Holdem - 9 players
Hand converted by PokerTracker 4

BTN: $3.77
Hero (SB): $5.38
BB: $5.00
UTG: $6.84
UTG+1: $3.27
UTG+2: $5.30
MP: $5.19
MP+1: $5.98
CO: $5.75

Hero posts SB $0.02, BB posts BB $0.05

Pre Flop: (pot: $0.07) Hero has A♦ K♣

fold, fold, fold, fold, fold, CO calls $0.05, fold, Hero raises to $0.20, BB calls $0.15, CO calls $0.15
Should have made it 0.25cents

Flop: ($0.60, 3 players) J♦ T♠ 5♣
Hero checks, BB checks, CO checks
Would c-betting this board be
(a) ok
(b) a mistake
(c) literally the end of the world?

Turn: ($0.60, 3 players) K♠
Hero bets $0.38, BB calls $0.38, fold
I guess this bet is way too small. Would 0.50 be ok?

River: ($1.36, 2 players) 3♠
Hero bets $0.65, BB calls $0.65