took these men

"gathered these men together"

who were recorded by name

This can be stated in active form. AT: "whose names they had recorded" (See: rc://en/ta/man/translate/figs-activepassive)

This is the second month of the Hebrew calendar. The first day is near the middle of April on Western calendars. See how you translated this in Numbers 1:1. (See: rc://en/ta/man/translate/translate-hebrewmonths and rc://en/ta/man/translate/translate-ordinal)

The second sentence means basically the same thing as the first and is added for clarification. (See: rc://en/ta/man/translate/figs-parallelism)

Here "name" means to "say." AT: "Each man had to say" (See: rc://en/ta/man/translate/figs-idiom)