If your question is whether or not a 15 amp is sufficient for an a/c to periodically run and also keep the refrigrator cold, I am not an electrician but the a/c alone will blow the 15 amp. If I am not mistaken, the a/c's pull about 18 amps apiece? I would guess the frig at 5 to 8 amps? I really don't know but if the a/c tries to draw the amps, you can lose the program board easily ($380). Jon and a lot of other guys can comment on this better than I can but be careful.
Pres