The AVG program requested is NOT an anti-virus program, it is an anti-spy program which WILL remove trojans. There is at least one trojan on the system and very often if one can be seen there are others which cannot be seen without using the programs specified. The AVG Anti-spy program will also need to be updated after download and install.
As for not downloading programs, then why is BitTorrent on the system. This is a file sharing program....BearFlix is a video download program, iTunes is a music download program.

If you can not download these clean up programs requested then there is no way to rid the computer of these trojans, viruses and spyware.

If that is the case then the only other option is for you to reformat the computer. If you would like instructions on how to do this I will be happy to provide them.

You should begin by backing up anything you wish to keep and not lose during reformat. You can back them up to a cdr and then reload them later after the reformat. Be sure that you have all the disks which came with the computer as you will need these when you reload the system.