I'm not really sure what your question is on this one... how to wire the contactor?
The contactor is just a relay. A1 and A2 power the coil, so assuming your contactor has a 120v coil, one of those is neutral, one is hot. Polarity doesn't matter.
I can't tell if your contactor has a suggested load / service orientation, but it shouldn't matter as it's really just a switch. So wire one side up for your service, one side for your load. Bam, you're golden.