I think you have 2 separate problems.
When you say bypass diverter I assume your talking about the bypass manifold. That would be a brass manifold. Should have 2 ,3/4" fittings. One is a filter. The other houses the bypass orifice. If the bypass orifice is clogged the machin no longer trickles water back to the waterbox. If the pressure system isn't in that constant loop, the water temp at the sending unit no longer moves and cools down . Triggering the wand allows flow past that sending unit. The super hot formerly stagnant water will cause an instant temp spike. The high temp kill switch on the back of the exhaust heat exh can also be triggered.
Prochem keeps the high temp water in a constant circle.This keeps the temp readings accurate and avoids spikes.
The pump problem is almost certainly the micro switch that is activated by the diverter linkage.
Replace the tip in the bypass manifold and get a new screen.
I have bypassed most of the electrical stuff on mine.