You are value cutting yourself by not including all player stats and flop stats(yours and your opponents), because in general these stats can turn a hand from a shove to fold or whatever, etc. This limits analysis.
From the info given, this is how I would play the hand:
PF: I would raise to 1 as my standard 3bet, maybe more if we were deeper.
Flop: I typically bet slightly more than half pot, so that would be 1. However, I find at low stakes, sometimes slightly bigger cbets get more fold equity because weaker players read more into bet sizing instead of ranges. At higher stakes(.5-1 through 3-6), where people think about ranges, my standard sizing is very slightly more than half pot, maybe more if we are deeper/certain boards/hands/opponents.
Turn: As a standard I'm typically barreling here, simply because his flop calling range is going to be fairly weak and scared(another benefit is we are harder to play against/more balanced). Of course this opponent specific, if you have 0 fold equity, betting is counter-productive. Again, I'm going for a half pot or whatever size sets me up for a river shove. Checking is fine, especially if you suspect a turn CR-shove(which is awkward for us).
River: His bet is so weak, this type of player could also float the flop with Ax, hearts, maybe some overs or pure trash. He could also have 2x, 7x, or a PP. Look at his flop stats to get a feel of his range/floatiness/thought process.
If my math is correct, we only need to be good here 18% of the time to breakeven. So, good call.
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