OP,
This girl is low interest and you are better off moving along to some who will make things easy,
Secondly, in dating (and life in general), 9/10 times boldness is ALWAYS rewarded. Your failure to escalate at any point did you in. You should have sat on the same couch as her and been attempting constant kino. Your subsequent walk probably would have turned out much different and you could have cooked your spaghetti with her that night.
Also, even if you didn’t think it was an “argument,” disagreements in early stage dating is a quick way to dry a chick up. Avoid them. If you get into this situation next time quickly diffuse it using humor. Don’t logic anything. Period.
On to the next.