It sounds to me like your kit is simply broken. An antenna connection is broken internally (severely limiting the amount of RF transmitted or received). Or either the transmitter or the receiver frequency or RF tuning circuits are no longer aligned to properly communicate with each other. Or several other things that could be wrong.
Of course, we are assuming that you are performing the tests with NEW, and KNOWN GOOD batteries. Not batteries you bought from some place that have been sitting on a dusty shelf for a year. NOT RECHARGEABLE batteries of any kind!!! Good, name-brand primary cells. A rechargeable battery, even when FULLY CHARGED only has the terminal voltage of a nearly-flat primary cell. Whether we like it or not. Most wireless kits perform terribly with rechargeable batteries.
The symptoms are those of simply “signal starvation” where the receiver is not getting enough signal from the transmitter to support a good, noise-free connection. This could be a problem with the transmitter. Or it could be a problem with the receiver (or even both). With only a single kit at hand, you have very limited options for troubleshooting.