yellow/red/white = composite video (yellow) and stereo audio (red/white)
those really won't help you with the aTV.
you mention "bose sound box" there is a chance that has multiple HDMI ports on it.
you would then use the bose box to change what you're watching on the TV.
so both the satellite box and the aTV would wire to the inputs on the bose, and the output of the bose would go to the TV.
if it doesn't you will need an HDMI switch
check here for the listing at monoprice.
also look at monoprice for your HDMI cables. you'll get them for much much cheaper than you would at best buy, and the quality will be the same.
or depending on your TV, it sounds like it may not be full HD (possibly an older
ED TV).
in that case you could use composite video for your satellite box, and probably not see too much loss in video quality.