For starters,
here's a copy of your SA-BT200 owners manual. You'll need it, particularly around page ten or so for the connections.
It appears that conncectvity of your BT-200 is quite limited but we'll see what we can do. Hopefully, we can do all of your switching through the TV's three HDMI ports.
Starting with pages 10, and thereabouts, gives you a good representation of what you can do, including connecting your TV to that unit which, if I read correctly, is a Blu-Ray player as well as an audio receiver. I'd start with that.
From this point on, You'll have to connect all other video sources through you TV's other HDMI jacks, not the BT-200, and do your source selection through the TV.
I'm not familiar with that media player but I'll assume it can be fed through your TV as well. You have three HDMI ports. one of which will be used by your BT-200 and you have two more left, one for the media player and one for the Freesat.
Your receiver does offer two additional optical audio inputs on the back, which can come in handy.
Not knowing your particular TV (LG makes many), I'll assume it does have an optical audio jack on the back. If this is the case, it will probably send out any sources fed through your TV theough it, although it will be only two channels.
I'm sure others wil lchime in with other suggestions but hopefullythis will get you started. In the meantime, get your TV working with the BT-200 and set up your speakers.
