I would ask her out for any one of these multiple reasons that you've stated above.

honestly, she's thrown every hint at you, and she's probably frustrated taht you "don't get it".

if it does work out for you, you should mention that you were trying to figure it out, they usually find it cute.

absolutely go for it.

p.s. this advice is also coming from my girlfriend, who is now saying she threw alot of these same hints at me and finally broke down and asked me out... apparently Im too stupid.

oh and a good way to go about this is find an easy way to give her your number, it puts the ball in her court.