The washer fills partially at times then just sits there for a few minutes before it completes it’s fill cycle, other times it completes the fill cycle then sits there and won’t do anything. It will also do this during the rinse cycle. I replaced the timer…same problem.
I am inclined to say it is your water pressure switch, but since this is GE we are talking about the parts are way more expensive then they should be, so before you spend that money clean out the plastic tube that goes from that switch to the tub. If that does not fix it, try replacing this part.