Priming Rust Stains

I recently repaired a plaster ceiling that had some minor water damage. I left the original ceiling in place and only replaced the damaged finish coat of plaster where required.

I am now getting some small rust stains appearing in the patched areas. I'm guessing they are coming from either rusted fasteners or rusted metal mesh buried in the plaster.

Will regular Latex Primer cover these rust stains or should I use a special stain covering primer?