When i click on the picture i see the V on the left and somebodys feet on the right....
I percieve this picture as this.... To the left is the V ( the vent in room you refer to ) I then see a wye taken off in 2" and then reducing to 1 1/2 that is intended to pick up a tub. Further down the branch I see a 3" pipe that is doing a 135' change of direction to its primary branch... within code ( you dont count the wye fitting change of direction only fitting AFTER.. more about this in a minute ) I then see a 90' bend with a 3 x 2 Wye taken off of it and I assume this is going to pick up a Lav, which makes it a wet vent for the bathroom group. ( you are going to be taking a vent off of the top of the lav t-wye i assume also ? ) i then see the branch terminate to a End cleanout to serve the branch. Do i interperit this correctlly ?
codes differ by regions but here your setup would fail, here are the things that would fail.
1. the T wye ( or Sani-T ) that picks up the toilet is against code. it must be a wye as a t wye is illegal to use in ANY horizontal configuration.. you WILL absolutely get blockages in the pipe over time if you dont change this to a wye and a 45' fitting.
2. the 90' bends must be 2 45's ( some places im told allow for the use of long sweep 90's ) where i am 90s anr not to be used horizontally or on any vertical to horizontal ( horizontal to vertical is allowed )
3. As i assume ( hopefully corectlly ) the lav is vented then you are corerect to use 2" as it is the minimum size of a wet vent allowed to serve a Toilet BUT, in Any wet vented configuration the Toilet must be the lowest fixture, this is so that when it is flushed it cannot syphon off any p traps ( as we do this here we will take the tub drain off of the 2" for the lav using a 2 x 1 1/2 wye, or a 2 x 2 wye in the case of a shower... we are not allowed to take seperate branches off of the 3" line that serves the bathroom group )
to answer your question Yes you could run 2" till after the p trap and then reduce to 1 1/2 as most tubs are set up to accept an 1 1/2 fixture outlet pipe, but it would be easyer to run it all in 1 1/2.
I would take a 45 off of the branch coming into the room and aim straight for the Toilet ( looks like there is enough room to work ), then before the Toilet install a 3 x 2 wye ( pointed in the direction of the feet in the pic ) this would be the Wet vent. I would then Install a 2 x 1 1/2 wye pointed in the direction of the tub ( knowing that i can still use a 45 or a 22 or the throw of the trap to get it exactlly where i need it if need be ), and I would run the 2" wet vent to the lav ( which would be tied to a 1 1/2 vent serving the entire bathroom group ).. I would install a 2" barret cleanout with an access panel to access it in the 2" pipe serving the lav so I could cleanout the wet vent if needed, and i would not install other cleanouts ( such as the one in the floor ) knowing that a clog in the tub could be remedy'd with a plunger and a blocked 3" I could lift the Toilet for access ( legal here in residential installations, but not commercial )
The current venting configuration you have ( even assuming the lav IS vented ) would be considered circuit venting, but would fail as the 3" and 2" and smaller traps must be seperatelly vented.
I will attempt to make a drawing to convey what i've said above, and upload it here.
Keep learning, there is much to plumbing that people dont realize.