No. 2 seed
If Green Bay can win both of their remaining games, they are guaranteed at least the second seed in the playoffs. If they can go into Minnesota and beat the Vikings, I can see this as a very real scenario for the Packers.
What needs to happen
The Packers win at Minnesota and at Detroit, bringing their record to 13-3 and winning the division.
The 49ers beat the Rams and the Seahawks, finishing the season 13-3, hold a tiebreaker over the Packers.
The Seahawks beat the Cardinals and the 49ers, finishing the season 13-3, hold a tiebreaker over the Packers.
As far as getting a first-round bye, the Packers control their own destiny. They win out and they will likely be the number two seed. Depending on how it all plays out, the NFC West winner will probably finish with the one seed while the Packers finish second.
Of course, the NFL is unpredictable and crazy things can happen, like the 49ers losing to the Falcons at home in Week 16. If something like that were to happen in the final two weeks of the season and the Packers win out, they could be looking at the possibility of getting the number one seed. If that were the case, the road to the Super Bowl would go through Lambeau Field.