Toilet drain to merge in offset part of main stack?

[Poissonn]

Hello all,

I'm in the middle of a complete bathroom remodel and I need to relocate the main drain/vent, the toilet as well as add a shower drain. The main drain/vent going from the basement straight through the roof is in the middle of the room so I want to move it in the left wall as illustrated bellow. I made a quick diagram of what I was thinking and wanted your opinion about it as there are a few things I'm really not sure about. Please keep in mind I did not draw components such as p-traps and sanT etc. It is mainly a routing diagram.

First of all, can I tie the toilet drain in the offset part of the main stack?
Also, can I tie the shower drain to the horizontal part of the toilet drain?

RED are walls
GREEN is plumbing piping
YELLOW are floor joists

Thanks!

 

[hj]

Black photos do NOT help with an answer.

 

[Sponsor]

 

[Poissonn]

Did you click on the photos? They do have a black background but you can cleary see the colored lines. I'll make some new drawings with white background this weekend! Anyone can look it up and give me some advices? I'm trying to avoid having an horizontal part in my main 3" dry vent...

 

[Poissonn]

Just did this drawing, it's different from the first layout...anything wrong with it?