I am confuse

My computer's doing something weird. Or it might be my mouse, but I doubt it's my mouse.
It's clicking in places I'm not clicking and randomly teleporting the cursor to different parts of the screen. Makes it incredibly difficult to do anything.
I've not downloaded anything or gone to any suspicious websites in the last month or two, so I don't think it's a virus. 
Strange thing is, it doesn't do it when I use my tablet instead of the mouse. Shit, and I just tested my laptop's trackpad which is also not having the problem. I hope it's not my mouse. This is a really good, kinda expensive mouse. ;A;
(well it's not that expensive, but it was a gift and it's only a year and a half old!)
It's a Logitech bluetooth mouse, I don't know the model because it doesn't say on the mouse. And I don't have the packaging anymore, lol. It's never had this issue before. Maybe the batteries are dying? It hasn't had the low charge light come on, though. Anyone have any advice? I'd really hate to have to get a new mouse. I'll go charge the batteries now. I hope that's the problem.
In the meantime, if you get any random favorites or whatever, know that it's because my computer or mouse is having issues!
(I've already accidentally faved things since this problem started, haha!)