I use command strips for everything (renting and have cinder block for all our outer walls) and wouldn't use them for that.
Plaster is a PITA to work with, you're going to need special mounting hardware for anything heavy especially something that's subject to stresses like coats on and off. We had shelves mounted onto plaster that were fine until one day they just ripped themselves out of the wall and all the books fell down (fortunately they fell away from the TV and towards the side wall instead!)
Oh, read on and realized you don't actually have a mirror with hooks, you've got a mirror and you're thinking of adding a frame with hooks.
What I'd do then is frame the mirror, mount it with enough of hook and loop style strips for its weight (probably 4 of the large ones if not more)
Then I'd mount coat hooks separately and take advantage of them being separate to put coats at better heights for your kids, hooks for hats, scarves, anything useful.
With the hooks, you're still going to end up with someone being in a hurry and pulling hook, adhesive, and some paint off the wall all at once, but some paint and new adhesive and lowering the hook slightly will make it all better.