I have had this with a few receivers. Assuming nothing is switched on and then you plug in the receiver to a battery with the bind plug connected if it does not flash rapidly it is a bad RX. Check or try the battery the other way round first which I assume you have done as the markings on the new RX's can be confusing.

This problem has nothing to do with binding. If the RX does not flash continiously when powered up with the Bind plug in and the battery the right way round it is faulty. The TX should be off at this point