Bleach likes oxygen, so as long as it doesn't evaporate, it should be fine.
You can use B&W rapid fixer for C-41 film, but C-41 fixer is preferred; for a start, C-41 fixer is mildly alkaline, where most B&W rapid fixers are acidic (I've read that the fixer you use can affect the final color of your negatives). Beyond that, there may be some small chemistry differences (hardeners, etc.), just as there are between C-41 Final Rinse and Photo-Flo (antifungal and antibacterial additives, for the most part, though some also contain a stabilizer to help along films old enough not to have it already in the emulsion).