If my opponent is at 7, and he plays Baron Nashor, do the points received from Baron's ability "make a Baron pit and play me to it" give them the final point to win the game? Or would they draw a card if they had not scored all battlefields that turn?

No, playing Baron Nashor from 7 points does not automatically give them the win. They still must satisfy the Final Point conquer restriction.

The ruling: If they have scored every battlefield in play that turn (including the newly created Baron Pit), they win. If they have not scored every battlefield, they draw a card instead.

Here's how it breaks down in standard 1v1 (Victory Score 8):

• Normally there are 2 battlefields. Baron creates a 3rd (Baron Pit).
• To win via Conquer at the final point, Rule 466.1.b.2 requires they have scored every battlefield that turn — meaning all 3.

Example — they win: Opponent starts at 6 points → holds one battlefield (scores to 7) → conquers the other original battlefield → plays Baron, conquering Baron Pit. They've scored all 3 battlefields this turn (one by hold, two by conquer) — they gain the 8th point and win.

Example — they draw: Opponent starts their turn already at 7 points (e.g., from last turn) → plays Baron, creating and conquering Baron Pit. They've only scored 1 battlefield (Baron Pit) this turn, not the 2 original ones. Per Rule 466.1.b.2, they draw a card and stay at 7 points.

Baron's ability doesn't bypass the Final Point rule — it just adds a third target you also need to have scored that turn.