The graphic below lays out which divisions will and will not overlap, along with days played. The morning block will not conflict with the afternoon block AT ALL. So teams can play in a morning style and an afternoon style with no conflicts.
You may NOT play in more than one division of a single format. i.e. If you are on a roster for 4v4 PRO, you may not play in 4v4 Comp or Rec, but you could play in 5v5 Non-Contact Rec in a different format.