Don't be turning the A7 off and on too much.
Wait at least 5 or 10 minutes before each turn-on.
Not good for the compressor (makes it draw too many amps apparently).
If you want to tweak the T-stat or check the switching, plug a work light into the socket. (in place of the A7).
If the fuse is for the A7, it should be at least 10A. If it's a fast-blow, 20A..