Unfortunately no answer because I returned the amplifier, 16.08 2018.

Yes, you can control the volume of speaker terminals A and B of the Yamaha A-S301 separately. The amplifier has a selector switch with which you can control the output signal for the two pairs of speakers (A and B) independently of each other.

This is possible without any problems; RCA (Cinch) inputs are available. For optimal quality, it is also recommended to connect a PC via digital (optical or coaxial) input. With the DAP version, the signal goes a long way: Source -> headphone amplifier DAP -> cable -> line input -> amplifier A-S301 -> cable -> loudspeaker Digital: Source -> Amplifier A-S301 -> Cable -> Loudspeaker

I use the same amplifier with two "Klipsch R-24F" speakers which have a very good sound (imho). But I don't use a record player but the optical input of the amplifier with my PC.

As a rule, you can connect the TV to the amplifier with an HDMI cable. Your TV and amplifier may also have an optical cable. Value Toslink cable (2m, Entry, Black) The advantage is that you can connect decent speakers (maybe even a 5.1 system) to the amplifier. Then you have perfect sound enjoyment with films.