2003 is newer than mine, so maybe there is another GFCI by the sink galley... maybe it was a custom addition?
The ATS is attached to the AC/DC control panel under the sink area, many people call it the brown box. There is not a lot of slack behind it for you to pull out if you take out the screws, but you will see the shore power cord and a Romex wire going into it on the back of the metal attachment behind the brown box.
If you are familiar with working with 110 AC, you can follow the shore power to the AC distribution panel and trouble shoot it. It is pretty straight forward, since electricity only runs in conductor (and human body).
1, make sure the shore power is 110V where you plug it in. Test it with a AC voltmeter to make sure.
2, inspect the shore power line to make sure the adapter is in good shape, and no nicks or cuts or other obvious defect.
3, inspect the AC breaker panel to make sure the breaker is on. Flip it back and forth to make sure it "sounds" right when you trip it and set it back on. The most important breaker is the 30A main breaker. If it is not working, nothing will get AC power.
4, if both genset and shore power does not let any of your AC appliances to work (roof AC, microwave, charger/converter, outlet, microwave), then unplug the shore line, and shut off the genset, and then pull out the "brown box." Let's the fun begin. (that is, there is no power anywhere in the system, I assume there is no inverter there.)
5, I think the ATS only switch the black/hot wire, so maybe you can test the continuity of the neutral (white) wire to see if it is connect to the neutral of the shore cable.... not too sure about that, but it should be harmless.
6, the rest of the troubleshooting will involve take the ATS apart (there is a screw or two to take off to open up the metal plate.) and make sure one of the power is flowing thru. It is possible that the ATS have a bad solenoid switch, or one of the connections got lose.
I would troubleshoot in the power off mode with continuity meter, but if someone is being paid by the hour, he/she better do this on a live circuity and save me a few minutes of labor

It is pretty simple, since you just follow the wiring and find out which component or connection is the missing link.