The display is a master on any communication line. It asks for information from the PLC and the PLC then replies. The standard serial port is designed for 1 initiator and 1 responder. But you wish to have 2 displays and 1 PLC - that is - 2 masters and 1 responder.
The DH-485 protocol which can use the RS485 port can be a peer-to-peer or multi-master setup by means of 'token-passing'. This is a procedure where each unit, one at a time, is allowed to be the master, asking a question and getting a response, then the unit passes on this ability to the next unit in a logical circle (lowest unit address up to the highest address then wrapping back to the lowest address) by sending a certain code.
As long as you units can properly inplement the DH-485 protocol it should be okay.