The date of my birth is....
"The date of my birthday is that of." Are you sure "el de" isn't something else? Because "de" means of or from something so it doesn't make sense in this context. It's possible they said DAY, so it...
What is the race of the person?
It is one in the afternoon. (Or: It is 1:00 P.M. as we would normally say.)
"It's one o'clock in the afternoon." "Is it one o'clock in the afternoon?"