Any rifle chambered for 7mm Rem. Mag. would be adequate.
Ten rounds of ball ammo(FMJ) would be ideal.
Ball ammo will pass straight through small game without blowing it into minute pieces. The bones of larger animals will allow ball ammo to be effective on them. This being a survival situation, and not a trophy hunt, I'd shoot every animal in the head to preserve as much flesh as possible.
A 106 Hunter's Axe would be ideal.
Wood(and animal sternums) can actually be broken down in a safe and effective way.
Beating on the spine of a knife can result in an injury which can't be treated in the woods, as well as the destruction of the knife itself.
A 106 will lend itself well as a knife when choked up on.
If the 106 doesn't qualify because it is a hatchet, then the full tang 124 would be my choice.
There's no moving parts, and unlike a small folding knife, it can be used effectively on wood(and animal sternums).
110s are great, but the thin tip and moving parts disqualify it as a survival knife in my book. Twenty days is an eternity in the woods. There's no doubt the need will arise for wood eventually. A 110 will prove futile, and if pushed, is guaranteed to fail.