A:AnswerIt should - but make sure the male end of the antennae cable is the same as the one you are removing.
As an RV owner, I would suggest if you need to change the antennae anyway, go ahead and upgrade to a Marine/RV type antennae which will increase reception.
A:AnswerI don't know how you installed it so that the car door pinches the wire. The service technician at Best Buy installed it on my Toyota 4-Runner just above the windshield on the passenger side roof. The wire runs under the windshield gasket and in through the dashboard, exiting in the vicinity of the glove box. The antenna wire is then taped to the power wires where they plug into my radio mount. I have no wires flopping around loose inside the cabin and nothing that can pinch or damage the wires. Have a professional install it next time.