Basically looks OK, a few comments:
1) Is that trap going to be accessible after installation? If not, I think a solvent weld trap is appropriate (not sure if it is required). If it is, then the threaded trap you have is reasonable and would let you clean out the trap.
2) If the toilet is wet vented via the horizontal left-right drain line in your last photo, then changing from the upright sanitary tee to the wye arrangement does not negatively impact that.
3) Is the fitting under your hand in the last photo a combo or a sanitary tee? And is it plausible that the branch inlet is receiving the kitchen waste? If so, it should be a combo, and now is the time to fix it if it isn't. On the other hand, if it's been working fine . . .
4) I'm not aware of any problem using the reducers like you show. An alternative would be to get a 1-1/2" street wye and 2" x 1-1/2" reducing coupling. I'm a bit unclear on the wet venting fine details and whether the body of that wye should really be a 2" body.
Cheers, Wayne