That's funny, my wife's LG G2 is doing the same exact thing. She ordered a new LG G4 off Swappa. Verizon doesn't really offer new subsidized phones every 2 years anymore, so 2 months left doesn't mean anything for getting a phone from them like it used to except that's when your contract ends.
I still have a functioning LG G2, I like the phone especially for the display size and in my mind it's still a relevant phone. I wish they made an equivalent, I won't buy an iPhone or a Samsung.
You can replace your phone with whatever you want, but you still have to fulfill your 2 months left on the contract or buy it out.