The throttle body was replaced about 100,000 miles ago with Bosch. I cleaned the MAF and MAP sensor. The throttlebody looks fairly clean too.

 

it burns about a quart to a quart and a half in between oil changes

 

Check the elbow at the throttle body, is the hose from the valve cover clean? Or does it have oil residue in it?

 

Sticking rings would explain the wildly divergent compression results better than cylinder wear. To free possibly sticky rings, you could put 1/2 to 1 quart of ATF in the crankcase, run it for 50-200 miles, then change the oil. There are products for that purpose, too, if you prefer. Then, you could do a compression test again, or just wait and see if the oil consumption and other problems improve.

You Might (re?) test for intake leaks.

Did you ever say exactly which spark plugs you used? You need ACDelco 41-103 (iridium.) No substituted. No “just as good.” No “made by the same company.”

 

I had some success unsticking rings with Seafoam top cleaning. There are other "top cleaners".
You basically pour an ounce or 2 in each spark plug hole and let sit over night then expect to see copious amounts of smoke when you stat the engine.

 

There is a little bit of oil coming out of the breather valve on the valve cover.

 

Yes those are the spark plugs that I installed. My teacher is going to do a smoke test and check for vacuum leaks and the intake and exhaust.
I might eventually put ATF in cylinders. I'm putting seafoam in the crank case before every oil change.

 

The only ones that are coming back are P0172,P0300 And sometimes P0011,P0014.

 

Address the P0172 first, here’s some information

https://www.obd-codes.com/p0172

Then the P0011

https://www.obd-codes.com/p0011

Then the P0014

https://www.obd-codes.com/p0014

Most likely cause is a cracked exhaust manifold or flex pipe and dirty MAF sensor
The timing issues are most likely dirty malfunctioning VVT solenoids. The P0300 is caused by the timing issues.

 

Oil coming out of the breather indicates ring problems.