Check the diamet of the hole. and get large enough rossets.
I did this on old doors that have several different parts in them. I had to use some epoxy to build up the hole to have places for the rossets screws to catch.
Local small home horror stores (Sutherlands) had the cheap ones. HD, Lowes, and hardware stores had some of the parts, but not a complete kit. Forgot which parts tha tthey had.
I have not been through all of them, to see exactly what they have, but here are a couple of other places to look.