Sorry, the black lead is the one that goes into the multimeter which usually lives in the COM socket
And that is where the black lead STAYS.
There are 2 other sockets to the left of the COM socket for measuring current one is (20A 15 sec max the other is for mA) im guessing I should plug the black lead into the mA socket as I am expecting a reading of less than 1A or should I put it in the 20A socket first to be on the safe side just in case.
NO . . . your RED meter lead gets unplugged and then goes into the 20A socket.
Then somewhere in the radio / battery power circuit you OPEN the circuit, so that your meter leads then can be inserted into that NOW opened circuit to complete it again.
The meter then will read the amps / milliamperes of power being consumed. ( Unless you have a dumb meter which requires a reversal of leads to get an upscale meter reading )
If you then initially see that 1A scale readings will be permissible, move your RED lead to that 1A socket.
Try at no volume, to see what the actual smart electronics is pulling and then at normal / or / and high volume to then see what the audio portion is burning up, at different volume settings..