[MICRO] Is this a punt?

NL Holdem $0.05(BB)
HERO ($5) [VPIP: 24.7% | PFR: 17.8% | AGG: 42.8% | 3-Bet: 7.6% | Hands: 125371]
HJ ($4.9) [VPIP: 20% | PFR: 12% | AGG: 50% | 3-Bet: 0% | Hands: 25]
CO ($7.97) [VPIP: 34.8% | PFR: 21.7% | AGG: 0% | 3-Bet: 0% | Hands: 23]
BTN ($5.13) [VPIP: 33.3% | PFR: 25.9% | AGG: 0% | 3-Bet: 7.7% | Hands: 29]
SB ($2.82) [VPIP: 23.8% | PFR: 19% | AGG: 100% | 3-Bet: 8.3% | Hands: 21]

Dealt to Hero: 3♣ 5♣

HJ Folds, CO Folds, BTN Raises To $0.15, SB Folds, HERO Raises To $0.40, BTN Calls $0.25

Hero SPR on Flop: [5.61 effective]
Flop ($0.82): J♠ 9♣ 3♥
HERO Bets $0.34 (Rem. Stack: 4.26), BTN Calls $0.34 (Rem. Stack: 4.39)

Turn ($1.50): J♠ 9♣ 3♥ 8♣
HERO Bets $1.02 (Rem. Stack: 3.24), BTN Calls $1.02 (Rem. Stack: 3.37)

River ($3.54): J♠ 9♣ 3♥ 8♣ A♦
HERO Bets $3.24 (allin), BTN Calls $3.24 (Rem. Stack: 0.13)
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• Definitely got out of line pre. This should be a fold

• What about post flop? My thinking on the flop was some of the time I'm ahead (vs. Ax, KQ in villain's range), some of the time I can probably get PP to fold on the turn/river

• Thinking on the turn was the FD gives me decent equity to most of villain's value, so good spot to barrel again. Maybe I could have sized up to really pressure the PP (55-77, TT)