First date: meh, that’s just the way it fell - if you hadn’t bought the first round it could have been his 2 to your 1.
The cinema - he had already paid for the soft drinks. Less than cinema tickets - but not cheap.
Then he didn’t offer to pay for the cinema tickets once rung up - but who asked the cashier for them? If it was you, I can imagine him thinking you were expecting to pay (as he’d just got the soft drinks, and was possibly thinking this was your turn and he’d take the next thing)
Eating your popcorn: he didn’t have to order some, and you didn’t have to keep offering. That was your choice. I’m sure I’d offer once out of politeness (and liking my date!) but I wouldn’t let him trough half if I was aggrieved at him not paying his way.
Then at the bar, he asked you what you wanted. I think by this point (because of the tickets) you’d decided that he was right. And that’s what made you think he was hanging back to pay. I find it odd that you think he wasn’t for paying, when he asked what you wanted. Paying for drinks before and after film could easily be roughly equal to the tickets.
For me it would depend on who asked the cashier for the cinema tickets. If it was you, he may have thought it was your “turn” (after the soft drinks, and anticipating the bar after where he could step in - which he did). Also, if you asked, he may have thought you were signalling that you wanted to pay. If I step forward on a date and do the asking - it’s usually because I’m positioning myself to pay.
Tests are just ridiculous!
If you ask him out for a meal, might he not think that you’re expecting to pay as you asked? (I wouldn’t - but I’ve seen loads of posts from those who say that!)
He has probably experienced more women sitting back and expecting their date to pay than you have - maybe he’s just testing you.
When you paid for the tickets, you could have said “oh I’ll pay it together and settle up with you later”.
The only “test” I would do is in arranging the next date, say “never sure what the etiquette is - you alright to go Dutch tonight?”. And take it from there.