I was born in june 13, 1984 while my partner is june 12,1990. Are we compatible? If not,what to do?

Yeshia, the compatible index is really not very high according to the prediction. The different personalities might bring about some issues. More understanding and tolerance can be very necessary.
But prediction is just for your reference. How you feel when you are together really matters. If you feel happy with each other, you may then proceed this relationship.