Computer keeps getting bumped off the internet

This started a few days ago, where I would randomly get bumped off the internet. I would reconnect, everything seemed fine, then bam five minutes later it happened again. One period it happened over 5 times in 20 minutes, another time it disconnected twice within a minute.

Now, I can't even reconnect when it goes off. When I go to my settings in the network center, my driver will be grayed out and disabled, so I can't click on it to reconnect. These times it will be off for a long period of time and will only reconnect by itself, but I can never have a secure connection for very long.

I've looked online and tried just about everything. I've turned off my router, modem, and my Mom's computer (which is hooked up to everything) more than once. I've uninstalled and reinstalled my drivers to no avail. I've searched and installed a new driver and it didn't work. 

I've logged onto my router and changed the channels that the networks were on- no go. 

I've run my AVG and the scan turned up nothing.

I've used the troubleshooter many times- sometimes it will reset the adapter, sometimes it won't, and other times it says "the default gateway is not available."

Can anyone help me, please? I haven't been able to play League for days now, and when I try to watch Netflix when I'm connected it will randomly cut me off when it disconnects. It's getting really frustrating.

I've attached a screenshot of my ipconfig/all 

Have you scanned for malware?

Could you be infected?  It's possible that malware has corrupted your current protection, so please try a couple of these, independent scans (from this link: https://www.us-cert.gov/ncas/alerts/TA15-286A ).  This is in case your current protection is compromised by malware and giving false results:

           F-Secure
           https://www.f-secure.com/en/web/home_global/online-scanner (link is external)

           McAfee
           http://www.mcafee.com/uk/downloads/free-tools/stinger.aspx (link is external)

           Microsoft
           http://www.microsoft.com/security/scanner/en-us/default.aspx (link is external)

           Sophos
           https://www.sophos.com/en-us/products/free-tools/virus-removal-tool.aspx (link is external)

           Trend Micro
           http://housecall.trendmicro.com/ (link is external)

    The above are examples only and do not constitute an exhaustive list. The U.S. Government does not endorse or support any particular product or vendor.

Sorry, but I can't help as I believe that networking is magic; and when it goes bad it's black magic (just kidding - but I really don't know much about networking  :0)