" The vehicle doesn't lock with key remote.The vehilcle beeps when key is removed until door is closed. "

With a metal key you have a system like my car unless there is some sort of hybrid system using a metal key and electronic lock I'm unaware of.

The remote not working might be because the system thinks that the key is still in the ignition and might not let you lock the doors by remote.

Your key fob has a RFID chip that the anti theft looks at and rewrites a new code every time the car is started.

The column lock mechanism on your car is strictly mechanical and located directly below the tumbler. I don't know why the dealer wants to change the entire column, that adds to the expense.

I'd probably take the tumbler / lock mechanism apart and see what is sticking / get parts from a salvage yard or dealer.