1. I traveled to India in 2002.
2. I traveled in India in 2002.
3. I traveled India in 2002.
(Which one is correct?)
4. He was born on July 5th, 2009.
5. He was born on 5th July, 2009.
(Are both correct?)
All of them are correct.
In # 1, the implication was that you went to India, but probably didn't travel around there. You may have visited only one city.
In # 2, you've indicated that you traveled in several places in India.
# 3 is not usually used.
# 4 is usually used in the U.S.
# 5 is more common in the U.K. and other parts of the world. I think, though, that they say 5 July 2009.