When Louise mentions her "TSH levels", she is more than likely referencing "FSH levels" as they are far more relative to female fertility.
When exiting the submerged capsule, the gal pushes the hatch outward. The water pressure would make this absolutely impossible. Plus a hatch on a spaceship or aircraft is designed to open inwards so that the positive interior pressure keeps it shut.
The "tree" shown is actually a fern. A real tree as a sapling sprout would have been a more convincing replacement.
At 0:02:42 -a space capsule would not contain any flammable liquid.
At 0:43:50 -there are water droplets on the camera lens.
It is unclear how Blake would be able to assure Tucker that "the air is clean" and "there is no radiation" without having any instruments to take readings.