A/C blows cold, warm, cold, warm....etc
 

I checked the FREON and its full. It will blow cold for a few minutes, then start blowing warmish/coolish (outside air) then a few minutes later it will blow cold again.... etc. Whats weird is that it will blow COLD air when the cars stopped which is opposite, cars will blow warm/cool air when stopped and cold once the cars being driven. What could it be?

Are you adjusting the temperature at all? Or does it do this all by itself? You could try cleaning the temp sensor, seen here- https://www.jaguarforums.com/forum/x...esponse-75423/
Also, try the test for the climate control. Download the JTIS manual, and it will have a test procedure and fault codes for the climate control.
Good luck.

i feel like if I have the temp set at the coldest setting at "LO" then it will keep constantly cold

The Jaguar climate control system seems to have gremlins in some instances. Your situation is not unique. In my car, in cold weather, the vents blow hot, then cold, then hot, then cold, with a cycle time of a couple of minutes. In the summer, my AC vents blow cold air no matter what the temp setting is, until it is run up to max. Then (and only then) the air flow out of the dash vents cuts off, and hot air comes out of the heater! Go figure.... Others have reported similar oddities.

I have yet to see a thread with a plausible explanation for all these goings on. Some think the heater booster pump is the culprit. Others suspect the cabin temp sensor is dirty or blocked. But so far, all a mystery I think.