Losing Ability to Connect To Internet on One PC

[Einaudi]

My ability to connect to the internet through my computer is very spotty. It's nothing to do with the actual internet because everyone in the house still has it, it's just my PC. My phone still gets internet as well.
This happens when I'm running very heavy processes, such as photoshop, clip paint studio (hires file), and the drawing program Mischief. Some game contributers are also final fantasy xiv.
Sometimes putting my computer to sleep makes me get my internet back when I wake it up, but it's not a constant thing. When this happens, I'm at a stalemate because I can't shut down my pc in different ways.
I've tried:

• 
  Ctrl+f4 to bring up the window that lets you select shut down/restart/etc.
  Pressing it from the start menu (it lets me press the button, but even if I give it hours it still does not do the process)
  Using RUN to do: SHUTDOWN -s -c

• 
  My set up:
  AMD Radeon HD 6800 series
  Intel Core i5-3450 @ 3.10 ghz
  Intel dq77mk
  Win 7 x64 Home Premium
  8gb ram installed

Not sure if you need any extra details, but I will provide them ASAP if needed!

I'm wondering if this might be an issue with memory, so I'm putting it in here-- if it's elsewise, please let me know. Sorry if it's the wrong spot.

Also, it appears there's no issue with the actual modem as it works for everyone else.

Thank you so much for reading!

 

[popatim]

How are you connecting to the internet? Wired, Wireless? which adapter?

 

[Einaudi]

How are you connecting to the internet? Wired, Wireless? which adapter?

Wired, through a linksys E2000. Comcast is my internet provider.