Is this basement bathroom plumbing plan ok?

[Freddiy]

Is this plumbing plan ok? I am finishing a bathroom in my basement. Wanting to add a vanity sink, toilet, shower and a wet bar just outside the bathroom. Unfortunately the builder only roughed in the toilet (3†drain) and a 2†vent pipe. See the attached sketchs of the existing rough-in and my proposed plan. Is the proposed plan ok? It looks like a lot of piping but is the only thing I could come up with to meet code as I understand it. Can this be simplified? I’m trying to minimize the amount of concrete I have to bust up. I live in Ohio just outside Cincinnati.
Thanks Fred.

 

[Terry]

The wet bar and lav can't be plumbed that way.

The shower vent can't tie in below grade to the toilet vent.