Teal'c statement is accurate, in that according to military regulations, a medical officer can overrule the orders of someone from any rank, even a 4-star general, if they deem it medically necessary, regardless of the medical officer's rank.
This was the first episode on the series to be shot using HD equipment. All the other episodes of seasons 1-8 were shot on film.
When the alien entity is scanning personnel records, it shows that Jack's real first name is "John".
Daniel Jackson's personnel record picture is from the opening credits.