Hi, welcome to Just Answer. My name is XXXXX XXXXX I look forward to helping you! The water not heating and the detergent dish not working are likely the result of a faulty PCB in the door. The PCB will usually show burn marks on teh solder side, so it is not a difficult diagnosis if you can access it for inspection. The water not recirculating could be a plugged filter or a faulty motor. Have you looked at the filter and does the motor start?
How do I get to the PCB board and what does it look like?
In terms of the motor how do I tell if the motor starts?
On further analysis, the detergent cap does actually open. The motor doesn't seem to come on.
The side of the dishwasher is heating up, but the water is still not heating up.
Is it likely to be worth repairing?