Most of the replacement rear air compressors are now thermally protected from overheating and automatically shut down to cool off. Replacing your noisy unit and then replacing the struts was something that was due plus you completely avoided the gouge factor from a dealer or unscrupulous Indi.
The noisy front is calling you too. It also wants the soap sud treatment. Time and wear is also dictating front strut replacement as well as a front end rebuild. One of the easiest things to replace during the front end inspection is the sway bar bushings and ball joints. Both make a huge difference in road feel until the rest of the bushings are replaced with a full refresh. Go poly on the front and rear sway bar bushes. They last, perform better and quiet.