Yes, the 545 and 535 are both power amps, you can use either one.
Your photo shows you have selected the phono input, you should select the Video/Aux input, otherwise you will have no sound, because your laptop is connected to the Video/Aux input.
For you, at least in the beginning, use the NORM output, it is safer to use than the LAB output.
Again, make sure you have the GFP input selected to Video/Aux.
Too early to tell, my guess is, maybe something is not right about the way you setup the laptop or you have a bad cable.
Are you using one like the following:
View attachment 63104
Yes you can, just use a y-splitter with the regular left/right outputs.
But your attached photo shows you have the GFP555 hooked up, so what do you mean by have not tried it yet?