Roper top loader problem with a RTW43408q0. Washer wouldn't spin at first. I ran that cycle again. It filled with water and didn't agitate or drain the water at all.

There are a few potential causes for your Roper washer not spinning or draining:

1. Drive belt: If the drive belt is broken or slipping, it could prevent the tub from spinning. Check the belt for any signs of damage or wear, and make sure it is properly tensioned.
2. Lid switch: Even though you said the lid switch is ok, it's still worth checking it again as it is responsible for ensuring that the washer will not spin or drain unless the lid is closed.
3. Motor coupler: The motor coupler connects the motor to the transmission and can wear out over time. If it has failed, the washer won't spin or agitate. Check the coupler for any signs of wear or damage.
4. Drain pump: A clogged drain pump or pump motor failure can prevent the washer from draining. Check the pump and clean out any debris that may be blocking it.
5. Control board: The control board could also be a potential culprit, especially if the washer is not completing cycles correctly. Check the board for any signs of damage or malfunction.
6. Transmission: If none of the above solutions work, there may be an issue with the transmission. This will require a professional repair.

I hope this helps you diagnose and fix the issue with your Roper washer.

If it won't fill you will need to replace the "water inlet valve" on the back of the unit. The unit will only agitate if it gets the signal from the water level pressure switch.
Here is the valve to order.

The typical cycle is;
fills to selected water level
agitates wash cycle
drains wash water
spins wash cycle
fills to selected water level on rinse cycle
agitates on rinse cycle
drains rinse water
spins final time
end of cycle

The timer is the most common problem. Call any appliance parts store and tell them the model number and ask for price for new timer. Also call sears appliance parts and get price. But a new timer and install it.

top loader ??? or front loader??? if top loader you have broken your lid switch, will fill, agitate, but when it comes to drain/spin for safety reasons if the unit doent recognize the lid closed it will not advance...if yo have a front loader then i would suspect that something has gotten into the pump assy and preventing drainiing of water therefore will not spin

If the motor doesnt run during the spin cycle and the tub stays full of water. You need to replace the lid switch. This is very common problem. The part should be around 35 bucks. Easy fix.

check the lid switch

To check the agitator. Start the washer into wash cycle. Once started Push down on top of agitator. If it catches some times or all of the time when pushing down, then then doggets are worn, under the agitator. You`ll have to remove the agitator to see these. If by pushing down on the agitator, nothing changes, Then you probably have a transmition problem. Check this and let me know what you find.

No agitation or spin in any cycle? If so and the machine will drain check the coupler.

check the tub casting under the agitator or it the gearcase