maybe it depends on the quality of your laptop
It depends on the type of laptop you have.
No, it will not harm the laptop to remove the battery and plug it in if it will run that way.
NO NEVER
The cheapest laptop that you would buy to run Steam games would be a Samsung Rc512-S02 laptop.
Yes, my laptop can run GTA Episodes from Liberty City.
We cannot see your laptop. Please provide the specific details of your laptop.
WIFI can connect PC and laptop.
Any laptop that meets the requirements can run it. You have to compare the your laptop's specifications to the Diablo 3 requirements.
If your laptop meets ther requirements to run both, then yes; if not, they won't run properly and you will have trouble when playing.
you have to take laptop apart to install the receiver of the gps
Depends on the laptop, I guess. I could run it on full quality settings on my laptop with no problems.