1997 Dodge Caravan Oil Pump Check

Engine Mechanical problem
1997 Dodge Caravan 6 cyl Front Wheel Drive Automatic 100K miles

I had an noise coming from the left side valve cover of my 1997 dodge grand caravan 3.8 liter engine, and found 2 worn valves, and what looked like to be a lack of and or over heated oil. The color of the rockers and inside of the head was a copper bronze color. I have replaced the head and valve train, and alos the oil pan pick-up screen and tube.

My question is there any way to tell if the mechanical oil pump is working up to speed without having to do a removal of the pump. I thought that the cause may have been a faulty lifters, and with the exhaust valve not opening fully that may have caused the overheating, but I still suspect an oil issue is also possible.

I have completed the head repair and I can start the engine, but I am still a little baffled on the lack of oil and or burning oil in the left head, and I do not want to run the engine to long if there is an oil issue.

The 2 valves that were damaged were 1 intake & 1 exhaust valve each on individual cylinders and they were worn down approx 3/16"at the rocker arm contact. Both the valve stem and rocker arm contact were worn.