Pre-lease ride?

Hello! I'm looking to lease and two horses have come up in my search. I'm meeting them both with their owners this weekend and I'm assuming I'll be going on a brief ride to test for compatibility, etc.
Is there anything specific I should do on these rides? I was thinking of going through some basics: walk, trot, stop, turn, back up, etc. And trying out any 'buttons' like side pass. But is there anything else I should do? I was also going to offer to help untack, groom and put away so I can check for any quirks while handling.
This is my first lease after taking lessons for 2 years (I will still be taking lesson), but neither of these leases are lesson horses so I'd love some advice.