Getting ready to replace all the DWV, am I on the right track?

I want to add a washer/dryer, but there isn't anything correct about my current DWV system. The house was built in 1972, so instead of adding onto shoddy work, I want to replace it all and make it right. Let me know what you think.

I've got a before picture, and an after picture, plus two walk-through videos. I hope it's all clear.

Before:


After:


House Walk-Through:
[video=youtube_share;inNxIcB-dj0]http://youtu.be/inNxIcB-dj0[/video]

Basement:
[video=youtube_share;-jwkn2ne5kI]http://youtu.be/-jwkn2ne5kI[/video]