Are you sure all of these issues are directly resulted by caffeine intake? Two years ago I had to quit caffeine for some time (medical issues) and it turned out that my sleep problems where (are) mostly related to the lack of physical activity and stress. Of course if several of those 5-6 cups were late at the day, then yeah, that might impact your quality of sleep, but regular morning cup of coffee shouldn't cause such issues considering caffeine half life is ~5 hours.