Wifi not working, reinstalled Windows 10 with problems

The wifi on my laptop was constantly showing "Connected, No internet". I tried many things to fix it, connecting to different networks, using data tether on my smartphone, changing Network Settings, and nothing was working. Since the laptop was my own and I had barely ever used it, I did a full reset without backing up. The reinstall seemed to be going good, so I kept it plugged in and went to sleep. In the morning, it showed a new screen that said "Downloading Windows... 2%" or something like that. The screen then stayed like this for about 2 days. I eventually lost power in the night and the battery ran out. Upon plugging it in and starting it, I got a blue screen that said the Windows OS Download had been interrupted, and it would resume after a restart. It gave a "Restart" button, so I clicked that and when it rebooted, it showed this same screen. I tried multiple times to press the button and it would always leave me at that screen. I am now scared, because I don't believe my product key was tied to my MS account. I am not totally sure though. It came preinstalled with Windows 10 and I just signed in. Is there a way I can fix it, or can I do an install with a USB loaded with Windows 10 ISO and use the key on the bottom? Please help!

UPDATE 3-19-17:
I got it out of the "Restart" bootloop, but now it just goes to "Installing windows 64%" but then restarts and sometimes doesnt even show the install screen.

What kind of computer do you have? What you have listed in your system specs isnt nearly enough to go off of. Either fill that out completely with all the info you can, or list it here. That will help us greatly in trying to diagnose the issue.