If you google for 'fungus on mirror' and you find that the images you get resemble what you see, then indeed, you probably got some fungus growing on your mirror.
Keeping a mirror in a garage is probably a bad idea. Still, clean the mirror with a disinfecting agent (alcohol and propanol work - the two active ingredients of Baader's cleaning liquid). The spots may improve a bit and at least won't keep growing.
After that, keep your mirror in a dry place and also avoid places that have a combination of (occasional) large temperature drops combined with (occasional) high humidity. It's also a good idea to use a hair dryer to warm up your lens, corrector plate or mirror after bringing it in.