I would start by removing the built ins, sconces on fireplace and ceiling fan. Are you planning to refinish the floor? I would stain it a little deeper, perhaps something close to the mantle. After that you can decide if the beams should be painted the color of the window trim or left stained. It's a nice room, I don't think it needs too much unless you're planning to completely change the style of the room.

Clean the brick and everything else goes white. Everything…slipcovered sofa….white tables…leave the floors bare. If fan is necessary, change it to white.

I would replace the built ins, with something more uniform. Maybe cabinets below, and shelves above.

Those beams are lovely! I would also take out the built ins. I honestly love painted brick and I think it makes a room look brighter and cleaner. Here is an example of a room with good beams and a really nice pop of white from painting the brick.