I answered "Federation standard and Klingon language" and it was marked as incorrect.
I keep typing in "Dlvl' Hol tlhlngan Hol je" and it keeps marking me as wrong despite being the same as the correct answer?
You actually do not have the same answer. The upright letters in the word DIvI' are each capital i, not lower case L, as you have typed. Similarly, though the second letter in tlhIngan is, indeed, a lower case L, the fourth letter is, again, a capital i. Duolingo's font is not very good for Klingon, but if you look closely you can see the difference.
The capital i is completely straight: I
The lower case L has a slight curl at the bottom: l
If you are reading this in an email, you will be seeing your email font, but if you go to Duolingo you'll see what you need to look for.