Go in the mint menu, and in the search box, type "mintdesktop" and open it, in the settings, uncheck "mounted volumes". hit ok and close out. go back to the mint menu and search for "mintdisk" and open it. uncheck "show links for mounted partitions"
next time you restart your computer, you shouldn't have any icons =)
i'm new to linux, but i've already learned alot, so i'm glad to help with anything i can
edit: ahh, i read that too fast. i don't know how to fix the label problem, sorry.