problem I see is Day 1, removing the bulkhead.
Everyone has their own ideas about a bulkhead, I am thinking is a dropped ceiling or a chase.
This is extra work and usually done for a reason, Will find ductwork or plumbing, electrical in it.
And I do not see a schedule for drywall repairs and mud. Takes time for the product to dry.
Using hot mud, I can get 2 coats of hot mud, 1 coat of topping on in 1 day, in a small room like that.
That is really pushing it hard, And with all the moisture and drying going on ... cross fingers and hope does not shrink and crack by morning.
Then you want to paint as soon as is ready for it. Saves time masking and covering new floors and cutting in around tile ... is big time saver to paint first. then after all work is done, touch up the bumps and scratches you created while working.
The tile will take longer, possibly 3 days. You want to do the shower walls first.
The first course is a time killer. The tub by design is not level for drainage.
You need to find the low spot, measure up for a full tile of whatever size tile being used. Then with a level, draw a line all the way around tub.
You start with a full tile, then you cut each tile to the line you drew.
Will need to shim the tile, usually the cardboard box the tile came in small strips folded in 1/2 gives about 1/4" and makes good shims.
First course is critical and time consuming.
Now what size tile will it be?
A 4"x4" self spacing tile is ok, but they butt against each other. Meaning, you can install a few courses the first day, but first course needs to dry to support the weight above that will be sitting on it.
Day 2 you can finish it off.
A 6"x6" tile with a 3/16" grout line is nice to work with. Looks nice and gives a little more fudge factor with the grout line to keep things going straight, you can use a roofing nail to support tile as you go up the wall. Also tile spacers, butt a occasional nail to support the tile while drying is a good option.
Then there is the plumbing wall with shower valve and shower head. If possible, you want to level a line down the center of them, this way you have a grout line there and can use tile saw to cut from edge of tile, just nibble out what you need.
Works well if you have a single handle shower valve, if you have a 3 handle .... is going to slow you down, something to think about when you start the first course of tile.
Once you tile that shower, it will take longer then you think, floor will be a cake walk and while tile drying on walls, you can cut the floor tiles and install them in a couple hours before quitting for the day, walk on them next morning.
No, you wont finish in 5.5 days, you will have majority of work done, but still a few days to go ... depends on your skill set and how much beer is available.