Can't tell you for sure without the model number but it's not likely that the TV has RCA analog audio outputs. More likely to be inputs. If your TV has a headphone jack you can use that.
If the TV has fixed audio outputs or optical out (you will need a DAC to use this output) you won't be able to control the volume with the TV remote. If you have a power amp without volume control you will have no volume control of any kind let alone remote.
You can use an HDMI Inputs selector with audio extraction to provide a fixed audio output but that won't help you with the TV tuner or any internal smart functions.