Internet Connectivity Issues (Default Gateway Missing)

Sorry for double posting, but my internet dropped and the computer would not let me reconnect or open networks and sharing. Now it is having difficulty shutting down. Oh crap.

I have my modem sitting about a foot off the floor about four feet from that tv. I wired in a router to the modem, and it dropped when trying to access that website.

My internet is working for now. I don't know what the ISP lady did besides changing the modem name, but it is working quite well now.

So far things have been working good. I'll give some feedback after a few days.

One thing I have noticed is that my net hasn't dropped when trying to access my college sign in page. Another thing is that my computer has two versions of my modem in its system, and connects to it twice. I don't know why, or how to stop it from doing so. I have removed it from my computer's memory, but when I reconnected it did it again.

So, everything was fine until my computer deemed it appropriate to install an Intel driver that was released in 2009. Though that driver did remove the double connections to the same modem, it also semi-broke the connection again. It auto-installed the driver, even though I had told the computer not to install it.

Alright, I got some updated images for you.

Code:

Windows IP Configuration

   Host Name . . . . . . . . . . . . : Dustin-PC
   Primary Dns Suffix  . . . . . . . : 
   Node Type . . . . . . . . . . . . : Hybrid
   IP Routing Enabled. . . . . . . . : No
   WINS Proxy Enabled. . . . . . . . : No

Wireless LAN adapter Wireless Network Connection:

   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Realtek RTL8190 802.11n Wireless LAN (Mini-)PCI NIC
   Physical Address. . . . . . . . . : 00-14-D1-A5-A2-E3
   DHCP Enabled. . . . . . . . . . . : Yes
   Autoconfiguration Enabled . . . . : Yes
   Link-local IPv6 Address . . . . . : fe80::acc5:9e7b:64b8:279e%13(Preferred) 
   IPv4 Address. . . . . . . . . . . : 192.168.0.4(Preferred) 
   Subnet Mask . . . . . . . . . . . : 255.255.255.0
   Lease Obtained. . . . . . . . . . : Monday, May 05, 2014 7:44:15 PM
   Lease Expires . . . . . . . . . . : Monday, May 05, 2014 9:14:16 PM
   Default Gateway . . . . . . . . . : 192.168.0.1
   DHCP Server . . . . . . . . . . . : 192.168.0.1
   DHCPv6 IAID . . . . . . . . . . . : 318772433
   DHCPv6 Client DUID. . . . . . . . : 00-01-00-01-1A-2A-FE-A6-00-25-64-B9-AD-19
   DNS Servers . . . . . . . . . . . : 192.168.1.1
                                       208.67.222.222
   NetBIOS over Tcpip. . . . . . . . : Enabled

Ethernet adapter Local Area Connection:

   Media State . . . . . . . . . . . : Media disconnected
   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Intel(R) 82567LM-3 Gigabit Network Connection
   Physical Address. . . . . . . . . : 00-25-64-B9-AD-19
   DHCP Enabled. . . . . . . . . . . : Yes
   Autoconfiguration Enabled . . . . : Yes

Ethernet adapter VirtualBox Host-Only Network:

   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : VirtualBox Host-Only Ethernet Adapter
   Physical Address. . . . . . . . . : 08-00-27-00-84-FC
   DHCP Enabled. . . . . . . . . . . : No
   Autoconfiguration Enabled . . . . : Yes
   Link-local IPv6 Address . . . . . : fe80::dc2d:9ee7:eb26:993a%19(Preferred) 
   IPv4 Address. . . . . . . . . . . : 192.168.56.1(Preferred) 
   Subnet Mask . . . . . . . . . . . : 255.255.255.0
   Default Gateway . . . . . . . . . : 
   DHCPv6 IAID . . . . . . . . . . . : 537395239
   DHCPv6 Client DUID. . . . . . . . : 00-01-00-01-1A-2A-FE-A6-00-25-64-B9-AD-19
   DNS Servers . . . . . . . . . . . : fec0:0:0:ffff::1%1
                                       fec0:0:0:ffff::2%1
                                       fec0:0:0:ffff::3%1
   NetBIOS over Tcpip. . . . . . . . : Enabled

Tunnel adapter isatap.{D40A88B4-7C14-4487-953B-45B945D33BD0}:

   Media State . . . . . . . . . . . : Media disconnected
   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Microsoft ISATAP Adapter
   Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
   DHCP Enabled. . . . . . . . . . . : No
   Autoconfiguration Enabled . . . . : Yes

Tunnel adapter Local Area Connection* 11:

   Media State . . . . . . . . . . . : Media disconnected
   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Teredo Tunneling Pseudo-Interface
   Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
   DHCP Enabled. . . . . . . . . . . : No
   Autoconfiguration Enabled . . . . : Yes

Tunnel adapter isatap.{EB3F0BF5-22BA-44DE-B3D4-084A1D199012}:

   Media State . . . . . . . . . . . : Media disconnected
   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Microsoft ISATAP Adapter #2
   Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
   DHCP Enabled. . . . . . . . . . . : No
   Autoconfiguration Enabled . . . . : Yes

Tunnel adapter isatap.{D59493FE-84A5-423E-8C68-69F3BAA35C76}:

   Media State . . . . . . . . . . . : Media disconnected
   Connection-specific DNS Suffix  . : 
   Description . . . . . . . . . . . : Microsoft ISATAP Adapter #4
   Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
   DHCP Enabled. . . . . . . . . . . : No
   Autoconfiguration Enabled . . . . : Yes