water despenser stopped, started, stopped...

So the water dispenser has stopped flowing on my GE refridge. It actually stopped, started, stopped, started, then finally stopped again.

The ice maker is still working fine. The water filter is new.

I have also replaced the Water valve asm (Part Number: AP3192626 made by GE).

Does anyone have an idea of what I should look at next?

Thanks!

Behind your deli or crisper drawer, there is a white curved plastic cover that goes over the top of the water reservoir, make sure that is in place and has not fallen. If this is not in place, the water line will freeze.

Sorry for the unusually long delay in my reply.

The reservoir does seem to be completely frozen, that or its really heavy duty plastic.

Any tips on how to thaw it out?

Is it removable, with destroying everthing?