Was the other vehicle backing as well? If so maybe 50/50. Were you the only one backing and other vehicle traveling down lane? If so 100% on you. Generally, the person backing must use a higher degree of care. Really not enough details to give you a good answer, please supply more and perhaps I can be of more assistance.
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Stop bumper.
While there is no right way to parallel park, there are several unwritten rules to parallel parking that everyone should know. Rule#1 Never upset another parallel parker, especially if they park in front or behind you. Some things that upset other drivers are (a) not leaving them enough space to manuever out of a parking space (b) parking your vehicle with your front bumper mashed into their rear bumper. Rule#2 To keep your bumpers safe when parking, never park in a tight space and always give other cars enough space to exit a parking spot. A driver that's locked into a parking spot is like a caged animal...they will bump your car as many times as needed.
It is the control button for the rear sensing system, "Parking Assist" - the beeping as your back bumper gets closer to another object.
the car who bumped into you
Usually such sensors are located in the rear bumper.
if you do the knicking, yeh
Easy, both are. Both drivers weren't watching behind, and so bumped into one another. Fault belongs to both, and both must come up with a suitable solution.
If he was driving forward past his intended parking space to take yours, then he is at fault. Cutting across is not permitted in parking lots although many people do it anyway.
His...obviously
your motion stops