I'll be honest, I don't see any mistakes made, except your current introspection and persistence in trying to control the situation. But as for the two dates themselves. I guess the only thing I would note is you didn't need to apologise for putting your hand on her leg. Why would you apologise? It sets this unhealthy dynamic of her being a gatekeeper and you pushing your luck. If she was a stranger, yeah, that's weird, but given just a few days earlier you were all over each other it's not at all out of place. You're allowed to have desires. You don't have to apologise for that any more than she would for putting her hand on your face. Don't be shamed into thinking your desires are inappropriate if they are not.
And as it happened it probably reinforced a feeling she had of "I just can't choose what to have from the menu". Some people are terrible at making high stakes decisions. And some people naturally operate where they like to think every decision is high stakes. In makes their life seem more significant. So what you get is the "awwww, I just can't choose. Help me. Someone. I don't want to make the wrong decision" as they stand there in the spotlight deciding if they are going to open the briefcase in front of them or swap it for the other one. When i was young I played into that dynamic thinking "choose me, choose meeeee" but then I realised that removed my dignity as a decent human being. So I changed that and took the decision for them by walking away. It hurt like hell, but my pride felt better for it. As an aside, one girl I was dating who did that whole drama came back to me 15 years later with a "I remember how much fun we had together but, hahahaha, LOL, I bet you're married with kids now" mail to which I replied "yepp, 3 kids".
This introspection is because you and I are autistic. Our sensory input weighs heavier on our decisions than our instincts/models/predictions. Where NTs go with "gut feeling" then make a collage from their observations to fit that, we more heavily try to make sense of what we experience. Right now you trying to make sense of what is happening and as far as possible keep things straightforward, because that's easier to process. You talk about "playing games" but for me the plea is a more general "why do you have to make things so complicated?" (that's a song, right?).
Rally drivers will practice the course a couple of times and drive on the basis of "hard left, sweeping right" or whatever it is the copilot says. You, on the other hand, are registering every single stone, tree, branch, etc going past at 100km/hr and trying to make sense of whether or not that indicates becoming a fireball in a few metres time. And you believe (because that is the brain muscle that is VERY well used) that concentrating even more on the insects and gravel smacking against the windscreen will give you the ability to better work out if you should turn the wheel left or right at this point.
You need to stop. Hands off the wheel (rally car analogy falls apart here). Breathe and accept you cannot brute force this situation with thinking. Not accept as in "I'm fine with this, really. These tears? Tears of JOY" but accept as in "I don't like this one bit, but it is what it is and I must accept I cannot change that".