Yes it can. It will be hooked up to the motherboard. You should get someone qualified in electrical to help you.
Yes you can but don't get too close to the fireplace. The fan's upper operating limit is 140 F.
I use this fan to pull the dusty air out of an insulated pigeon loft and it works great for that. I hadn't thought of using it for the basement, but I think it would work fine for that. I may give that a try also. Thank you for the idea.
It does not have an automatic off and on functionality, you would need to wire whatever it is plugged into to a switch.
When I bought this fan several years ago, it was hard wire. When I replaced it a few years ago, it then came with a plug so that you could just plug it in. If you wanted to hard wire it, you could just remove the plug and connect it up.
If it is like my fan, its plastic fan blades
The model DB206C is rated at 160 Free Air CFM and the model DB6GTC is rated at 180 Free Air CFM. Free Air CFM is the amount of air the fan can move all by itself.
This fan produces 52 dBA.
Yes you can.