My maytag washer after a delicate cycle, has filling and agitator problems

SOURCE: Won't Agitate

If you can hear the motor during the agitate cycle, the the transmission has stripped gears.

SOURCE: Frigidaire washer won't agitate

Probably a stripped gear in the transmission.

SOURCE: Washer fills with water but will not agitate to wash the clothes.

REPL/ PUMP GRINDING NOISE IS BROKEN IMPEELER INSIDE PUMP SHOULD FIX PROBLEM

SOURCE: crown series 12 cycle washer will not agitate and smells like something is burning like a for instance a vacumme belt kinda smell in that cycle it spins fine fills fine drains fine but just makes a so

It doesn't agitate If your washer doesn't agitate, check these:

Lid switch
Motor coupler
Belts
Clutch
Drive motor
Drive pulleys
Transmission
Agitator
Lid switch If the lid switch is defective, the washing machine may not agitate or function at all. The switch is inside the washing machine main housing near the door frame. Often you have to raise or open the top or front of the washing machine to get to the switch. If it's defective, you need to replace it. 

Motor coupler Many washers produced by Whirlpool® use a small, relatively inexpensive motor coupling. It's plastic and rubber and is mounted to the shaft of the motor on one side, and to the transmission on the other. Over time, the coupler wears out and fails. If this happens, you need to completely replace it.

Belts Many washing machines have one or two belts. If a belt is broken or badly worn, you need to replace it with a genuine belt from the manufacturer. (Some washing machine belts are designed with special characteristics not found in automotive belts.)

Clutch If your washer was made by GE®, it may use a clutch for agitating the clothes. As the clutch wears out, it may prevent the washer from agitating well or at all. If the clutch is worn, you need to replace it. For this job, you probably want to hire a qualified appliance repair technician.

Drive motor Many washer brands use a reversing motor. For agitation the motor runs in one direction, for spinning and draining, the other. It's possible for a motor to burn out in one direction and continue to operate in the other. If this happens, you need to replace the entire motor. 

Drive pulleys The motor or transmission drive pulley may be worn and unable to turn the drive belt. If so, replace the pulley.

Transmission The transmission could have either of these problems:

• Older washers produced by Whirlpool® have a transmission with an electro-mechanical shifter. If the shifter becomes even partially defective, the unit may not agitate properly or at all.



• The transmission may have a worn or broken gear, or some other internal problem.

If you suspect a transmission problem, you may have to call a qualified appliance repair technician to repair it.

Agitator The inside of the agitator--where the transmission shaft attaches--can become worn, and strip out the spline that allows the agitator to properly grip the shaft. Then the transmission shaft rotates back and forth as it should, but the agitator doesn't move properly. If this happens, you may need to replace the agitator and/or the transmission spline.

SOURCE: Agitator starts at begining of cycle before washer is full

Please be carful as running the agitator without enough water will overheat and kick out the motor, however it should be ok when it resets itself.
Yes, the machine should stop agitating when you lift the lid so this too is part of the problem.
After looking at the print I can only suggest that the cam contacts in the timer ( contacts 12 and 14) that start the motor are burned and stuck together.
Quentin