On birth control, which I take at the EXACT time every day; never missed a pill. But, no period for 2 months and no PMS/pregnancy symptoms either?

Likely fine, but: Women on the pill for a long time, eventually get milder and milder periods. However, no birth control method (non-surgical) is 100% effective. Take a home pg test. Repeat in a week and if negative, and you miss another period, see your doc to find out why. Follow the instructions on the kit, and be sure it has not expired, too.