Copper in a coach? That's a new one.
Since the split section will need to come out sooner or later cut it out now and take it with you to your store of choice and compare to the stock material. I can't remember it pipe is measure inside or outside diameter.
The various compression (Shark Bite and such) fittings are the bee's knees. Used them in the stick and bricks when remodeling the baths. A bit expensive but they work and I didn't have any leaks with both the end caps I used and going from copper to CPVC.