No agitation in the delicate and regular modes.

The cycle controller

loose belt or cogs under agitator to drum bad

It's the transmission that's bad. The motor turns one direction to spin and the opposite direction to agitate. The transmission converts the constant belt speed from the motor into the back and forth motion. In the other direction, the transmission stops and the whole system spins.
(I don't suspect you have it set to "delicates")

I assume you mean spin.You should have a slow/half spin selection on your machine if not select a delicates or wool program this will give you a slow spin.

Yours is a 2 speed motor. Does it spin in 2 different speeds. If so, then it most likely is designed with only to agitate in 1 speed. If it only spins in one speed, then your motor is defective

this sounds ilke its in a delicate cycle or fabric care cycle...did you try putting this in normal or regular wash are the speed selectors set to fast/fast...let me know if this does not help...

You have burned the clutch this must be replaced

Usually, there are two agitator modes. A Normal ("Fast") mode, and a delicates ("Slow") mode. Put washer in 'delicates' cycle and see if the agitator slows down even further. If it stays at same speed as in perma press or 'normal' mode, then there is an open in the circuit betwixt the controller dial and the agitator control.

Problem solved with a new washer

thanks

Sounds like you have a broken motor coupler. Not expensive. #13 on the diagram. Part # 285753, dave www.washermd.com