I think the doors are Series XJ models (1968-86 or 1992 for the V12) long wheel base models (some Series II and all Series III i believe) but not sure if the 1/4 panels are even Jaguar - it's a very short bootlid!
I thought of the XK8 but the shape around the rear light cluster is wrong and so is the filler cap. It's something reasonably modern as it has the flange so a plastic bumper can be fitted underneath the flange - think you'll have to do some more digging!
Maybe someone else will have an ida what the 1/4 panels are for or offer an alternative to the doors but fairly sure i'm right on the doors being XJ Series cars.