Infestation - S1-E3
Character mistake: When Maureen Robinson says that the ship is "trillions of light years" away from Earth, she should have said miles instead of years. A later episode correctly changes the distances involved to "trillions of miles."
Answer: Yes to all questions. The best theoretical estimate is that the universe is about 7 trillion light years across. That is about 250 times larger than the currently observable universe. So, yes, using trillions of light years as a unit of measure is appropriate. And, yes, the age of the universe is a measure of time, and the space between galaxies is a measure of distance.