I had exactly the same issue 4 weeks ago - also getting the C1A20 codes.
Here is mine
IMG_20190303_135919
I had rebuilt my compressor but I was still faulting - C1A20 (note the car will not drop even with no compressor fitted so if yours is dropping you have a front/rear/central valve block issue)
I thought I might change the exhaust valve block and ended up like you.
You can buy a new valve and housing from ebay but the issue is that you have to drill the plug that is still in the compressor out and retap the thread.
When I broke mine off I did not have replacement parts and while the car will drive without a compressor sooner or later it will go down so I needed to put it back in as it would still put some air into the tank and keep the car up.
With the hex head broken off I ran the compressor for a leak test and found air was coming out the broken plug - so the valve was not sealing - hence C1A20 - meaning some air was going straight out the exhaust port because the valve was cracked open a little.
So I tried to get the plug out of the compressor and even after bashing the crap out of it with a hammer and screwdriver to unscrew it, it would not move.
So I just filled the entire area shown in my pic with super glue to seal it - I figured superglue would have the strength to hold the 300psi pressure if needed.
Leaving for 12 hours to dry it no longer leaked and I put the compressor in - and guess what no more fault codes (C1A20). The issue I had is now fixed - my take is that either corrosion or dead white desiccant powder was stopping the exhaust valve from completely closing and letting air escape rather than into the system. Bashing the crap out of it must have dislodged the restriction.
4 weeks later and 1500miles later I still have no faults but who knows how long my super glue will hold. I have no received a new valve and housing and right or wrong I have decided not to actually repair the compressor. If the superglue fails the car still works so I will then take the compressor out , drill the plug out, retap and install new parts. I bought the bits individually but ebay sellers have the complete kit.
https://www.ebay.com.au/itm/Land-Ro...e=STRK:MEBIDX:IT&_trksid=p2060353.m2749.l2649
https://www.ebay.com.au/itm/Land-Ro...e=STRK:MEBIDX:IT&_trksid=p2060353.m2749.l2649
Some pics on line of the repair required - see pics 4,5,6,7
https://picclick.fr/Discovery-3-4-Sport-Range-Rover-Air-Compressor-272726447216.html
The easy replacement
https://www.youtube.com/watch?v=jjnrHJqFKFs
I hope this helps
Garry