Does this plumbing plan look okay?

I am trying to redo the cast iron plumbing in my house and developed a rough sketch in paint, and parts list. Are there any plumbers (or diy’ers) that could help review this for me? I dont want to spend the time doing it wrong!!!!

Thanks in advance for your time and insights!

Here is the diagram:

Here are the fittings: (-and associated comments/questions)

1. 4x4x2 wye in cement – already cemented into basement slab
2. 2" street 45 – already glued into wye in cement
3. 2" tee – sani-tee or different??
4. 2" street 45
5. 2" street 45
6. 2" street 45*
7. 2" street 45*
8. laundry basin sink trap, 1.5" okay here?
9. 2" 90 deg vent fitting
10. 4x4x2 sani-tee
11. 4x4x3 sani-tee
12. 4x4x2 sant-iee upside down – is that correct for venting?**
13. 4x4x1.5 sani-tee updside down – same question**
14. 4×3 closet bend
15. 2x2x1.5 tee?- what is correct for this use?
16. 1.5" sani-tee
17. 1.5" 90 deg vent fitting
18. bath lav trap – 1.5" correct?
19. 2" combo fitting (name?) with cleanout plug and cap
20. sani-tee on its side to get shower vent to existing location – is a tee on its side okay? with slight slope?
21. 2" street 45 – is "long sweep" necessary? because this is a vent not a drain
22. 2" street 45
23. trap for tub – 1.5" okay here?

*6 & 7 possibly replaced by 2" combo and cleanout plug – if it makes sense to do so?

**12 could be above 13