You've double-posted that question twice and I linked the laser I bought so you could have checked yourself . The seller says that the laser outputs 1mW. The warning sticker on the laser also says 1mW.
So you ordered this instead of the JAD? Aussie customs surprise me sometimes... I got a clearly labelled <200mW laser pen through customs about a week ago. But back when i first got into the hobby i had a cheap <5mW pen (didn't have a label at all) seized.
EDIT: You focus the laser to the smallest dot possible on the object you want to burn
EDIT: Progress! So I found a smallish sized dot but not as small as the smallest dot where when I hold it about 1cm away from the tape I can put a hole in the tape! I'll keep adjusting the focus and distance that I'm burning at to see if I can get any faster burning.
I probably should note that the seller of this laser claims that this laser should light matches, both via e-mail and on a little piece of paper that came with the laser.