My birthday is June 18, 1989, and her birthday is March 28, 1994. Are we compatible?

I am sorry to tell that you just make a so-so match. You have different personalities, and this is the main reason that would cause some arguments in daily life. Also the different faiths probably would affect your relationship. If you do love each other very much and want to be together, you should be very tolerant and patient with each other. Best wishes~~