Well if you get a date 2, be interested in her. Ask her questions. Lean in to her (make mental checks ensuring you do this) while she talks. Open doors for her, let her in first, let her walk ahead and put your hand on the small of her back.
There's a huge difference between being a PUA douche and being a confident gentleman. Don't game her, they always know.
But if you like her, don't be afraid to show her, just not too much.
And yeah, at the end of date 2, unless she initiates, don't kiss her. Kiss her on one cheek, a little longer than a peck, with one hand on the small of her back. That's it.
If you actually like her and she actually likes you, date 3 is in.