How do I get access to the coils on an Amana model SXD22S2W,

ck here...

https://www.appliancepartspros.com/repair-help/amana-refrigerator-sxd22s2w-repair/sxd22s2w-leaking.html

But before throwing parts at it give their tech 877# a hollar..

Best to you

Your model does not have a filter. You will have to add an inline water filter before supplying water to the refrigerator if you would like it to be filtered.

Two things come to mind. 1. Something got pulled loose or bent during the move. 2. Mice have made a home (binding up the works) or chewed something important.
R-134 is OK with the cold.

Need condenser fan for unit to cool properly

That is most likely the dual water control valve on the rear of your refrigerator. There are 2 coils, one side for ice maker and other side for water dispenser. I don't know your model number of your Amana but if you find it let me know and I will be able to show you the part number. Or enter the model number at site below. If you unplug the coils and check them with an OHM meter they should be very close to equal. Thanks, Sea breeze

the evaporator is clogged with frost, just as if the defrost heater went out. Two options, remove all food and leave ref unplugged and doors open for half a day, or remove the back wall(evaporator cover) and defrost it with a hair dryer.

He's right,sorry.

Old message, I'm sure you have solved your problem by now, but . . .
IF Amana/Whirlpool conforms to wiring standards (no guarantees), the main AC wires should be white=neutral, black=hot, red=switched line.  Of course, they already depart with the use of the brown wire.
You should be able to access the 'full' switch at the ice maker itself and as you have found, it will turn on (or off) the fill solenoid.
It would be kind to post back what you found as it might benefit others in the future.
Thanks-

The is a fairly easy way if you have a strong stomach.

On the back of the refrigerator, you will see a plastic drain line running to a pan underneath the box. This is the drain line for the evaporator condensate water. It is stopped up in the refrigerator section of the box.
Here is the tough part...Pull the hose out of the back until you can wipe it off with a clean towel and blow hard through the hose with your mouth.
By the way ...take your food out of the fridge...you will blow some pretty disgusting stuff out of the drain and into your desert if you don't. This will cure your leak.
Pssst...you can used compressed air if you are a wuss! lol
Good luck

could be carbon particles from a broken carbon filter cartridge. replace the filter and flush about 5 gallons of water before checking the water again that comes out of the dispenser.