Before you ride the bike again just check to see if all the rivets are there, by slowly pushing the bike along and checking each one in turn.
Just to be sure, you could also put your fingers on each end of the rivet and give it a wiggle to see how each one feels compared to the other. This might either reassure you that everything is consistent therefore should be safe to use, or pinpoint a specific issue.
If in the unlikely event that one or more is missing or look like they are coming out don't ride the bike until they are all as they should be.
I've just checked my rear disc and there is some movement but not much.