Unplug the refrigerator.
Sand the holes with a coarse-grit sandpaper to remove all the rust.
Prepare epoxy resin as directed.
Cut two to three patches of fiberglass cloth that are just larger than the rust hole using scissors.
Coat one piece of fiberglass cloth with adhesive on both sides. Press the patch over the hole, and smooth it with your gloved fingers.
Add a second coat of fiberglass cloth coated with adhesive over the first. If desired, add a third layer.
Plug in the refrigerator. Allow the adhesive resin to cure for 48 hours or as directed.
Unplug the refrigerator again. Sand the patch flat with coarse-grit sandpaper followed by medium-grit and then fine-grit sandpaper. Wipe the patch with a microfiber cloth to remove the dust.
Apply touch-up paint over the patch. Use paint with a non-spray sponge-tip applicator for spot painting.