5.5e downtime activities

I realize this is a little late, but I went through trying to find the new rules for downtime activities and.... I cant find anything at all in 5.5e. I know the base rules get scattered about multiple books for some reason($), and the structure of the books changed a lot, so I'm struggling to find it without reading both the phb and dmg cover to cover.

I'm really looking for the new rules on activities like the praying/temple service for divine (or clergy) favors, carousing and getting favors/making contacts, etc. Basically I'm specifically looking for the ruleset for how to gain and apply favors and contacts from NPCs, although the other downtime activities are important as well.