Here's part of the question and part of the answer:
Q - During most meditations my right eye starts to water quite heavily. I cannot tell why this is happening.
A - During your meditations, if you notice your eye watering, simply observe that fact and return to the object or focus of your meditation without trying to figure out why it’s happening and without trying to stop it. Treat it as you would any other thoughts or sensations that arise during meditation – when you become aware that your awareness has drifted to your eye (or anything else), gently return your attention to the meditation object, whether that is your breath, a mantra, or a something else.
If you feel inclined, outside of your meditation practice, to explore what message your watering eye is sending you (if any), you could try journaling on that question. Ask your inner wisdom, “What is the message my eye is wanting to share?” and let yourself write freely, without censoring yourself. Given the common association of tears with sadness and release, it’s possible that you may be releasing some past grief or emotional upset, but without knowing your full story and health history, it’s not possible to say for sure. Just know that meditation is a valuable tool for releasing what no longer serves you.This is the sort of reflection question process we do here at St. John's Center. It can truly be very illuminating.