View attachment 106176
1. I drew that without regard that this is not going to the septic.
2. Connect a wye from the tub an another wye from the shower. Place those to let the paths from the traps to be good. Do not use a double wye.
3. While I think 2 inch is sufficient, I am not sure that it should not switch to 3 inch when the both the tub and shower join. I am not a plumber.
4. On page 12 bottom of
https://wabo.memberclicks.net/assets/pdfs/Plumbing_Venting_Brochure_2018.pdf there is a big wet vent example. For connecting two traps for the two lavatories you could use the method shown there. That shows a double fixture fitting. But there are other ways.
5. The dry vent could be a real vent or an AAV. The vent line above the double fixture fitting can be 1.5 or 2 inch.
6. The transition from the vertical exit of the double fixture fitting can be a long sweep. Only uses 45s, wyes, or 22.5s, plus the swing on the traps to change directions. You can also use a combo (=wye+45), but I don't see a need for that.