Yes. Also they are genre savvy (alien parasites, evil computers, and other crazy sci-fi nonsense are just routine parts of the job) and reference past series like fans (“That guy’s like a Kirk sundae with Trip Tucker sprinkles” is a direct quote).
It is a light-hearted semi-parody of Star Trek made by people who love Star Trek.
The coffee drinking, or the leaning over to be visible in the shot?