Why won't it agitate or move drum?

Possible that the INLET valve is also making noise due to faulty coil, check , confirm by disconnecting the valve.

It is so common that the washing machine can make terrible noise in many ways and is a common fault. In all occasions it is important that your observation is most important and so is vital to the identification /rectification and solution. If you have noticed that machine is vibrating when it is running then the motor /drum suspension has to be inspected. Since these fittings are located on the underside of the machine it is important that you look for the noise with a good inspection lamp. Manually turn the motor and drum and listen for the noise, if so the motor bearings, the drum agitator shaft and fittings must be checked. Also the suspensions which include the shock absorbers and springs, the body clamps must be checked to be in correct alignment and not changed in position. Tightening of the mounting is also very important. Finally in most cases a drop of OIL or smear of grease on the moving parts cane solve most issues.

Check this link :

http://www.espares.co.uk/advice/washing-machines/a/7/1210/wobbly-washing-machine-or-tumble-dryer.html
For replacement of bearings check for tips on this visual link:

http://www.espares.co.uk/advice/washing-machines/a/7/1401/how-to-replace-the-bearings-on-a-washing-mach.html

It sounds like the transmission is done. Can't pinpoint what it is exactly, but I would start there.

The spin clutch/brake assembly has failed; you must remove the agitator, tubs, bottom seal. then remove the transmission from the bottom; the spin clutch/ brake assembly is located around the transmission agitator shaft under the tub. not a job for the faint of heart; difficult fix; most people just replace the machine. an appliance parts store can get you the part and, give you instructions in replacement procedure if you wish to do this repair.

Sounds like a transmission problem. Not worth the repair judging from age.

probably needs a new belt,water gets on it and makes it squeal

The drum/agitator bearings are bad I believe, or the gearbox has been damaged. This is an expensive repair. I would strongly consider buying a new washer. This is a great time to buy appliances since the stores are really competing, and the prices are at their lowest.

Ray

Hi Tom. if the noise is a loud SCREECH that almost sounds like a wounded bird, you need to replace the water pump. The part is easy to replace with no tools and you can get one from Fisher Paykel Parts:
http://fisherpaykelparts.net/index.php?categoryid=111&productid=3

dismantle the agitator and see if the shaft of the gearbox is moving.its either the gearbox or the agitator

ppr78, couple of things you want to check. The bottom panel on these GE's are pretty flimsy. I have run into a couple where during agitation the bottom of the motor housing would rub against the bottom panel making a terrible noise. You need to remove the front panel by pusing on the clips on the left and right side just under the top. The front panel will pull out. During agitation, take your foot and push down on the bottom panel and see if the screech goes away. I have also found the suspension rod support sockets at the top dry out and make a screeching noise. You also want to check your belt and pully and see if the noise is from there. Check these things first...Catriver..post back.

Eileen, If the screeching is only happening on the fill and not during agitation or spin, I think we are safe to rule out the belt, pulley and bearing. Remove the fill hoses from the back of the washer and check to see if you have sand or gunk caught in the screens of the valve itself. If they are clear sounds like the water passing through the valve is making the noise. Another thing to check is the water pressure in the house. It should be around 55 psi., 75 psi max. I have seen it as high as 120psi with a bad regulator. This will cause noise and all kinds of problems. The part number for the fill valve is 131389300, according to the model posted....Catriver...post back.