Do I need a "to" for a second infinitive in a sentence?
Normally, you are free to either omit or repeat to in an elliptical, parallel construction like this. However, in this case the word first stands between to and the infinitive, and so you cannot repeat to while omitting first in the second branch. Repeating both to and first, however, sounds a little awkward, perhaps because it is a bit redundant. It is possible, but I recommend leaving out to and first in the second branch.