Yes. It will slow down your computer a little bit while it's running but not much. It will however slow down the internet speeds to other computers in your house. So if you experience slow internet speeds then shut down utorrent (it will be a little green icon in the system tray of the computer that's running it) and see if things improve. It's usually a good idea to turn utorrent off if you're not downloading anything with it. utorrent will not slow down your computer or your internet if it's turned off.
No.
If uTorrent is completely closed and the computer is shut down, no it cannot. uTorrent can however, save your progress downloading a file once you close it.
Yes, combat arms does slow your computer down.
Yes, they can take up a lot of RAM and slow down a computer.
Any program that runs can slow your computer down, so yes.
will my computer kinda slowed down.
While it's running, yes. It will not slow down you computer unless you are actively using it.
No. It is the viruses you download with the songs using LimeWire that slow your computer down.
uTorrent - http://www.utorrent.com/ but since you've ruled that out... (with no clear resoning) Vuse ( was Azuerues ) - http://www.vuze.com/app Deluge - http://deluge-torrent.org/ oh and Transmission (Mac/*nix) - http://www.transmissionbt.com/
No, it will not slow down your computer and no it will not give you virus
No.
uTorrent speeds can be reduced if your computer or network (or even ISP!) is blocking the ports that it uses to download data. In your uTorrent preferences you should be able to check to see what port the program uses and attempt to unblock it on your computer's firewall or your router if you have one. However if you are at a college or it is being blocked by your internet service provider, you may be out of luck.