Regarding your question of check marks on a manifest.
Each person on that page (except two) has a check mark with a line through the check mark to the left of their name.
The person who is deported only has the line to the left, with no check mark.
The person in-transit has no check mark, or line to the left.
Total guess on my part: A check mark with line to the left of the name means that person got off the ship and entered the U.S.
Even if my guess is correct, that does not mean that system of check marks was used on all ships and/or in other time frames.