A basic survey will check the boat for structure as well that all accessories work. What is not checked in depth is the health of the engines and drives, not all surveyors can perform this more in-depth check.
When not on shore power all AC powered equipment will not work; A/C, Microwave, Battery Charger, ...
The frig should be dual volt and run on 12V when not on AC power.
1997 2400 SCR
5.7 Vortec / Bravo 2