Very well, FiveTwentyThreeHundredmW/Mr. Bean
, I'll try to give you satisfactory answers:
1) Correct, no batts included. As you stated, less hassle with transport overseas.
2) Yes, 3-element glass lens is applicable, recommended and well priced is the one from DTR's laser shop (600-800nm wavelength)
3) 1min max recommended runtime to preserve diode's longevity, you can go above, but it'd be your call. 1min off at least for a cool down.
4)
Pman pretty much answered the usage question:beer:. I've been a collector in a first place, all my lasers are stored in a massive rifle gun case so they don't collect dust
. Reason for sale? Much more expensive and sophisticated hobby: photography. Quality lenses cost a lot.
Now, if you're happy enough with these answers, a PM is much welcome.