As you noted there is a cap on the driver side of the block, but if it’s never been off before, it will be stuck in there pretty good.
Tools.
Impact wrench or heavy duty drill.
2’ of socket extensions.
Allen head sockets. I think it’s a 6mm, but have other sizes handy.
Big channel locks.
Torch.
The cap doesn’t screw in, it’s just a friction fit. Don’t attempt to pry it up, you’ll just chew up aluminum. The trick is to get it turning a little with the channel locks. Try to wiggle it a few degrees to-and-fro, while applying some “up” pressure. If you can’t get it to wiggle, or it doesn’t start coming up and off after 5min of this, then it’s time to get more aggressive.
More aggressive: Use the torch to heat up the block around the aluminum cap. Don’t apply the torch to the cap. Once the block is good and hot, put an icecube or two in/on the cap for 30-60secs. Then wiggle the cap and try to get it off. Before it comes off completely, use a towel to remove the access water in the cap so it doesn’t go into the pan.
Once the cap is off, carefully clean around it. Then pull the gear out and insert the 6?mm hex socket and extensions. Then use the impact wrench or heavy duty drill to turn the oil pump shaft that should be visible once you remove the gear. Note that my light duty drill started smoking one time when I did this. The drill needs to turn CW, so right-hand rule as if you were threading something down.
Once oil starts flowing the drill’s sound will change because it will get resistance. Soon thereafter if you look down where the hex socket is you will see a flow of oil from the front of the engine towards the rear. That’s the oil supply coming out of the intermediate bearing and on to the gears.
If you’ve run the drill at high speed for 60sec and you see no oil, you might have a problem. 2 min and you definately have a problem.
Our oil pump is pretty durable. I’d be suspicious of the oil pressure relief valve, the big cylindrical one that screws into the bottom of the block, before I’d suspect the oil pump.
I have several known good used oil pumps and oil pressure relief valves. $100 shipped and one of each could be yours.
I bet that you have an oil cooler and the engine just didn’t have enough time to fill up all the oil volume. You’re going to put the drill on and within 60secs, you’ll see that oil flowing on to your hex socket.
Another alternative is to pull the spark plugs and disconnect the harness connector to the injectors. Then run the starter a bit. No plugs means reduced load on starter and bearings. Disconnecting the injectors means no fuel dumping into cylinders that will just flood them and dilute your oil. I like driving the oil pump tho, because it’s a comfort to actually “see” the oil flowing.