2nl SNAP max value OTR

So, you don't expect this kind of hand when you check from BB, but it ran out well for me and then, here I am trying to get max value from worse hands OTR.

What do you think of the bet sizing?

888 Poker - $0.02 NL (6 max) FAST - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: $2.91
SB: $6.10
Hero (BB): $2.75
UTG: $2.00
MP: $1.61
CO: $1.61

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: (pot: $0.03) Hero has T J

fold, MP calls $0.02, fold, fold, SB calls $0.01, Hero checks

Flop: ($0.06, 3 players) T 8 5
SB bets $0.04, Hero calls $0.04, MP calls $0.04

Turn: ($0.18, 3 players) 3
SB bets $0.13, Hero calls $0.13, MP calls $0.13

River: ($0.57, 3 players) J
SB bets $0.28, Hero raises to $0.82

Here's another...different spot, same dilemma...how to get max value?

888 Poker - $0.02 NL (6 max) FAST - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): $2.04
SB: $2.69
BB: $2.08
UTG: $3.45
MP: $2.00
CO: $1.95

SB posts SB $0.01, BB posts BB $0.02

Pre Flop: (pot: $0.03) Hero has Q A

fold, fold, CO calls $0.02, Hero raises to $0.08, fold, fold, CO calls $0.06

Flop: ($0.19, 2 players) 2 J T
CO bets $0.02, Hero raises to $0.14, CO calls $0.12

Turn: ($0.47, 2 players) T
CO checks, Hero checks

River: ($0.47, 2 players) K
CO checks, Hero bets $0.23