Lighting for the camera close ups you need a ring light, it fits around the camera lens and gives a nice even light with no badger eyes and a lovely reflection off your eyes. Add a diffuser for the stage lights, and add a set of curtains in addition to the blinds, the soft curtains will damp the reverb in the room. Add a simple duvet on the back of the door and another on the wall behind your camera as extra sound absorption (just buy the inners and use them) and you will find the room is a lot quieter and acoustically deader for a low cost. If loathe to make holes for screws in the walls just buy a set of light stands and add a cross bar to hold the duvet inners. Buy a second set of stands and another cross bar of square section aluminium tubing and mount over the bench to hold the overhead camera rig, cable tie to the existing bench if needed. Colour balance the camera, get a set of 18% and 80% grey cards off Amazon and use them to white balance the camera so you get a consistent colour temperature in production, Place one on the bench background so you always have a reference set.