[SmileyPSU]

I would lead out on the flop like you did, but once you get raised you've got to dump your hand. He's telling you he's got, at the very least, an Ace in his hand. You're drawing to the two remaining jacks/runner-runner straight. Give it up.

I also think your call on the turn is marginal. Your jacks are dirty if he's got AK. I don't think you've got 6 outs here, and I don't think 6 outs dictates an autocall, either.

Since, by your own admission you're drawing to six outs, I can't imagine why you'd be calling the river when you do not hit one of them.