The "Bottom Right taskbar" as you call it is the System Tray and all the little icons in there are the programs running in the background.
You cannot delete them but you may disable each of the programs by Right clicking them and selecting "Close" or "Exit" from the pop up menu.
They will be back on the next reboot. To ensure that does not happen, you should open each of the programs and "uncheck" Start or load with Windows from its Options menu.
You may also disable them by
Start>>Run and then typing msconfig and clicking OK. Uncheck the program that you do not wish to load with Window in "Start" Tab and OK your way out of the dialogue box.
You may have to restart and get a warning but you should click on the "Do not remind again" option and those unchecked icons will be there no more.