Nice big space to accommodate work and music. Fantastic rug. Get cherry furniture and paint the room either a crisp white or a dark inky blue-black. Paint trim, shutters, and chair rail same color as the walls. Don't highlight them. An MCM type of look is great with your rug. Here are DWR furniture ideas but you can also find less expensive pieces with similar vibe.
My tech nerd friends convinced my husband to go from two or three monitors to one gigantic screen with multiple windows open. We just made the switch in his home office using a 55" TV as the screen. I presume you could find a set up that has the high pixels you need for radiology imaging and the size you need to compare multiple images side by side. Cleaner look having it wall hung and using a TV arm allows a lot of tilt adjustability.
Very big table desk on wall across from doorway. Edel Table - Grand from DWR has nice drawer and cable management holes if needed.
https://www.dwr.com/kitchen-dining-tables/edel-table-grand/2517916-3.html?lang=en_US
Hang monitors or large screen on wall with arms for flexible positioning. Get cable management covers and paint the same color as the wall.
Credenza or cabinets along back wall across from window - for printer and other supplies. I prefer a printer inside a cabinet but you could sit it on top if more your style. You can throw extra music cords, recording doo-dads or whatever else inside too. Hang guitars on the wall above. Edel Credenza.
https://www.dwr.com/storage-credenzas-sideboards/edel-credenza-75%22/2514133-2.html?lang=en_US
Area between windows for keyboard. Float a comfy chair and ottoman in the corner but out of the way of the door swing. A sofa is going to invite kids - make this a solo hang out space. Classic Eames chair and ottoman.
https://www.dwr.com/living-lounge-chairs/eames-lounge-chair-and-ottoman/5667.html?lang=en_US
Install solid wood double doors, no glass. Paint the exterior the color of the hallway walls, paint interior the color of the room. Barn doors are terrible for sound containment, plus you can't put anything against the walls where they sit on the interior of the room.
FURNITURE
ROOM INSPIRATION
Combining office and instruments.
Music area behind door swing. (Not suggesting anything else about this room!)
Dark blue walls and cherry furniture
Q