Uhhh you got to check your mounting point then. Thats way too loose. Mine is also only held on by the top 2 screw. Doesn’t even budge. The thread is made of plastic so taking the plate or frame off and on wears down the thread.
to me the left lamp looks warm white while the right lamp looks white. this is normal depending on the angle you look into the LED. if every angle looks warm then yes replace the module.