FBjru it's best to have vents on each fixture, but you have to look at your state's plumbing code to find out about wet-venting.
Now, for your lav, you can have a sanitary tee outside the wall with a pipe going down through the floor and then have like a bend on top of the sanitary tee to take it in to the wall and then another bend to have it go back straight up inside the wall.
Maybe something like this:
I could be wrong on the angle of the bend. Hopefully someone can correct me.
Also, instead of having a 1-1/2" vent, you could have a sanitary tee that is 2" on top and bottom and 1-1/2" in the middle. That way vent and drain would be 2".
PS. ignore the thing about the garbage disposal and double basin-- this was a sketch I had for a plan for my kitchen sink. Instead of going outside the wall, yours would be inside.
Sorry to keep editing this, but if you say what state you are in, we can figure out what plumbing code you are under: IPC, UPC, or state specific. The vents differ from one code to another.