Will I pass plumbing inspection? 2018 IRC

[Lachlan]

Greetings. I'm a DIY'er and am working on building an off-grid home. Because of affordability, I'm going to need to do all this work on my own.
So familiarizing with the 2018 IRC, I've done my best to follow it and would like to see if someone experienced can check me off here on this system for a single bathroom and kitchen. I'm also wondering for one, if I can use an air admittance valve in the two circumstances as you'll see in the attached images. My 2" vent to roof is going to be a little too far from the lavatory sink and tub, so I'm wanting to use an AAV for that portion of the system. It code states so long as there's one rooftop vent, it should be okay to do this? The main branch is 3"diameter, the laundry drain and vent stack is 2", and all other 1.5". All advice and comments appreciated. Thank You

 

[Jeff H Young]

tub needs to be vented s trap wont pass. kitchen line should connet to main downstream of the horizontaly vented fixtures (Toilet)

 

[Sponsor]

 

[Lachlan]

tub needs to be vented s trap wont pass.

That makes sense. I'll need to think about the correct way to do the trap. Probably just drop it, and place it into a horizontal combination wye?
So far as the aav, would the position in diagram below work? My walls aside from the vent stack location are all CMU, so this is why it's been difficult to adjust the layout.

kitchen line should connect to main downstream of the horizontally vented fixtures (Toilet)

Seems easy enough. I'd imagine this is because the vent should always be above stream of whatever is draining into it compared to downstream?

Thanks Jeff