Carrying locally produced (read: hire CBS Sports to do the game, but brand it as "Titans Football" instead) games has nothing to do with carrying the NFL Network feed of a game over your local airwaves.
That's a separate contract, bid on separately from the contracts for producing and carrying preseason games.
For instance, there are markets where one channel has the deal to re-broadcast ESPN Sunday Night Football when their home market team is on, but one of their competitors has the deal to carry NFL Network games featuring that same team.
Trust me...I'm a doctor (er, professional TV guy.)
No. You do divisional tiebreakers first, then conference tiebreakers, but once the conference ties are broken you start all over again instead of seeding the teams. Example: WAS, DAL, CAR, and ATL are all 4-2. WAS > DAL due to head-to-head.