Cowboys can't win any of the tie breakers with the Giants, so the Giants have to lose 2 out of 3 while the Cowboys win out for the Cowboys to win the Division. The Giants will at worst have the same Division record assuming a loss against Washington, and they have a better record against common opponents (even if they lose to KC and Oakland).
As for wildcards, it looks like Dallas will need to win out to get the final spot, or
Oddly enough, Miami is still alive! If the Steelers collapse against weak opposition, the Phish could get the 6th seed. (SD and KC have vicious schedules remaining, and both could easily finish 9-7. They'd all end with 7-5 conference records, and Miami just took SD head-to-head.)