Yep. The fastest way to verify everything else is okay is to bypass the relay, then listen if the pump is running. If it is, move on and forget that entire circuit. There are two ways to do that. When I work on a Chrysler product, (which use a lot of Mitsubishi parts), I unplug the relay, then pop in a jumper wire, typically a stretched-out paper clip. When I am working on a car I am not familiar with, and since time means money to my customers, the fastest way is to unplug the relay, pop its cover off, plug it back in that way, then squeeze the movable contact. You can keep it engaged with a small rubber band.
The relay connects two separate but related circuits. By bypassing / squeezing it, you can test the entire high-current circuit. If that is working, that leaves the low-current control side with the problem and that is controlled by the computer. Computers rarely fail to run relays properly so when it does not turn one on, it is because whatever tells it it is time to do that is not there. That is the cam and crank signals in this case.
You can check for diagnostic fault codes to lead you to the circuit with the problem, but first look for a mechanic who has a Chrysler DRB3 scanner. A lot of independent shops bought them because with an extra plug-in card, they will do emissions-related tests on all brands of vehicles, 1996 and newer. I have one because I have a lot of 1980's and 1990's Chrysler products. Under "Inputs and Outputs" it will list the two sensors with a "no" or "present" during cranking to tell you if those signals are arriving from those sensors. You should get a fault code too related to the missing signal, but if the battery was disconnected, the codes will have been erased. Often it is really hard to get them to set again from simply cranking the engine. They are more likely to set during coasting to a stop right after the sensor has failed.
I included some drawings of common relays from Chrysler products. If your car has one of these, you can use the paper clip, otherwise you are safest by squeezing the contact.
Monday, June 13th, 2016 AT 8:45 PM