all Wyes, see below.
not hard, no worry,
eyeglow. Your last drawing is good.
In addition to the two Wyes marked as Wyes you have two other ones. However, it is obvious that they are Wyes since the geometry of the lines shows their shape. If you write that two are Wyes, and not the other two, you raise doubts and questions. OK, I know I'm picking nits.
I drew a line drawing. I'm not there, I don't have a view, I can't see what challenges you really have -- so do not rely on my ideas, or on this drawing, for anything other than the fact that it shows some concepts.
You read earlier that master plumber Mark said to make the washing machine line a straight line. Cass just said it again a few minutes ago. That is what I drew here.
I drew a little circle near the bathroom sink, on the drain line. This is where I might put a vent going up inside the wall. I repeat, that I am not on site, nor do I want to be. You will do things differently, because you have to. There is a limit as to how much you can get done over the phone when the expert is not on premises. Worse, I am not an expert, and I have not seen your place even once. Reality will dictate other solutions. Let this be understood.
I might use a 3" diameter pipe for the toilet. Either all the way to the outside, or up till the last connection, or up till the shower connection. That could be worth a discussion here. Reason: solids flush better in a 3" pipe -- proven in a CMHC study, which I might be able to locate and point to later.
david
p.s. You can right-click on the image and "save as" or copy onto your computer. Size is 4k.