I can't choose a backup to restore my iPhone?

Please help. My phone fell today and the screen popped off. I remembered that I had the same model in the house that wasn't being used. I took the sim card out of the broken one and put it in the newer one. I've been trying to restore it for quite a while now. I had no problem connecting to wifi or accessing my apple ID. When it came down to which latest backup I wanted to choose, it wouldn't let me choose. I had options (one said "Yesterday at 9:01 am" and my other backup options are dated to a couple of days ago, so it wouldn't matter which one I choose.) Every time I try to pick one, it won't do anything. I thought maybe the screen was acting a bit funny but I could swipe and touch everywhere just fine. So my problem is that it won't let me choose a backup and it makes me rather upset that I can't make any progress with this.