basement bathroom waste and vent question
I'm putting a bathroom in my basement and wanted to see if I was on the right track for my waste and vent plan. The bathroom will have a toilet and shower on one wall and the lav sink on the opposite wall. There is an existing drain line that runs from the sink and dishwasher above that goes to the sewer and is vented to the main stack of the house. My plan is to tie into those. At this point, I am hoping someone can let me know if I'm on track with the general design.
Here's what I sketched out...I'd appreciate any help you can offer. The part I shaded in blue are the existing lines.