Venting a new sink in basement

[sguntur]

Hi all, trying to finish my basement and have the following question (forgive the crappy drawing). I have existing plumbing rough-ins for a shower, toilet, and a sink. I would like to add a sink and/or washer marked in maroon (bottom right). The the green upward arrows are vents for the existing plumbing. Questions are:

1. Can I hook the sink/washer drain into the sewer line (4) coming in from the floor up above?
2. Can I vent the new sink/washer by connecting it (5) to existing vent (3) as shown by the dashed black line?

Any comments/suggestions welcome. Thanks!