Fold on the turn. You are leveling yourself here. You say that you don't know what it means when your opp bombs the turn. Probably means the same thing the check raise on the flop meant. They have a better hand than you. The shove on the river means they think you have a really strong second best hand since you called the other streets and are trying to get max value.
I don't play at Stars because I can't, but I would think .10 NL would be way more straightforward than this.