It's better to buy a cleaning fluid for lens filter. 

Yes, I believe you can with any trail cam. There are several videos on YouTube. You need a 4.0x1.7mm plug. I saw one video that explains a direct hard wire. After watching some videos, I decided it was easier and about the same price to buy the Stealth Cam 12v external battery pack with solar panel. I paid $50 at Academy Sports online. Plus the 4.0x1.7mm plug from Amazon. But if you like to make things, there are plenty of videos on making your own solar battery packs. 

Yes it has a 12 volt power port on the bottom. But it takes a 4.0x1.7mm plug. Most external battery packs are 2.1... I had to get a 2.1mm to 4.0x1.7 adapter from Amazon to use my Stealth Cam 12v solar battery pack. I love it! Radio Shack has them cheaper if you are lucky enough to have one still in your area. 

I don't see why not, remember that the filter goes on the lens, not on the camera. 

This filter will fit any lens with a 49mm filter thread