The shower is not vented in this drawing. You will need to add a vent before it enters the main line.
The toilet being flushed will siphon the shower.
Just for my own learning, isn't the 3 inch horizontal line and the short section of 2 inch vertical line considered a wet vent?
Your two sinks are also be improperly vented unless you have a "lenient" inspector.
Got it. This is what I'm picturing now. The transitions would be wyes. A cross tee for the lavs.
Neither of the code governing bodies actually do any testing.
This is awkward, but...
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