I started noticing this issue a few months ago and this weekend I decided to check the coils. I tilted the fridge and removed the dust underneath and while the coils weren't caked in dust they had a fair amount.

I haven't opened the freezer in awhile but when I did there was a column of ice in the rear from top to bottom about 4" thick. I very carefully removed the ice from the rear then removed the rear panel and let it defrost overnight.

When I started it back up I have the freezer set to "D" )A is warm, F is cold) and the fridge to 7 (1 -9, 9 being coldest)

After 48 hours the freezer is 29.5 deg and the fridge is 48 deg.

Before I posted this I checked the ice dispenser and there is a very faint cold air coming from it but it's very faint. If you hold your hand on the grate under the dispenser you can't feel it, could this be the culprit?

The fan in the freezer is blowing.

 

I'm having trouble finding service info on this fridge,
Apparently in 2002 GE made some major changes in their side by side units.

I don't want to give you any incorrect information.
Check out this link and see if this helps you determine what the issue is.
Please feel free to ask any questions.

GE Refrigerator Repair Guide

 

That's a great link, thanks.

I will do some more research on it tonight.