Hello. I have progress with some good news!
I have no reply from the battery manufacturer yet but my friend asked me if it is possible to test the light using a computer power supply. What a good idea! I like playing around with computer hardware, so this would be an easy test for me to carry out.
So I made a temporary wire to connect my light to the 12 Volt molex connector. Light works!
Also since I still had the clamp meter that I borrow from my office with me, I checked current and it is:
12.2 Volt ... Inrush Current: 5.5 Amp
12.2 Volt ... Stable Current: 4.4 Amp
So now I know for certain what this light needs to turn on!
Also seem my new battery is broken. I will mail the manufacturer later.