Priming/Painting new/repaired drywall

I had a roof leak a few months ago, and I just finally got all the drywall repaired. The final drywall sanding was completed on Thursday. I still have to clean the dust off the walls...then time to prime & paint A few questions:

1. How long should I wait before priming?
2. What's the best primer (type & brand) to use on new drywall & mud? I plan to use Sherwin Williams duration paint.
3. How long do I wait after priming to paint?
4. How long after painting should I wait to put painter's tape on to do the next area?

Thanks!