One of the first things I did with my Luna is put it in silent mode. I found that it beeps a ridiculous amount and you can't do anything about it.
I made my own bungee mount after nearly losing my Luna due to the strap tearing in half while I was on a dive boat about ready to jump in. Anyway, it's workout out great, and I have no desire to put the new strap that I have on it as the bungees are 10000x better. It works with my drysuit and wetsuits, and allows me to put the Luna further up my arm (closer to my elbow) - with the strap it either wouldn't stay there or I had to make it way too tight.
I cut the straps off and trimmed them to where there was enough left for the pin to go through and be solid. Next I cut what was left of the strap a little shorter across to make a channel for the bungees to sit in. Run the bungees as pictured. My advice is to cut a little at a time, you know, measure twice & cut once..hope this helps. I've got nearly 300 dives with my home-made bungees, which is a lot longer than the OEM strap lasted!
Of course this is not official advice and I am not a rep or employee of ScubaPro