If the transmission is shot, it would be more wise to save the repair money for a new washer.
Did you first check the motor coupler to see if its worn out and making that noise?
Unplug the machine first and watch the video below to check it.
Here's the motor coupling for your model:
285753A Motor Coupling
Also , you may have a foreign object in your water pump making that noise, I'd check that too.
Here's the water pump for your model:
Drain Pump WP3363394
Here's a video on how to access it below, unplug the washer first before you take it apart. Then once you get the pump off, take the 2 rubber hoses off and get a flashlight and look inside it. Be prepared for some water to spill out of the 2 rubber hoses.
Keep us posted.
Jake