The layout it good , only one thing for I would put plastic square trim around the door
That is the way I would do it...
Yes. Looks good. I like your sketches.
The Fugi tool would work down the side of the socket. I would just mask up the side of the socket as close to the edge as you can get, run the bead of Silicon into the joint and then using the 90 degree square edge run that down the tile and remove tape.