Is my 'Umrah valid given the discharge of a transparent fluid mixed with a little yellowness after completing the 'Umrah rituals, and was it correct to repeat the Farewell Tawaf due to feeling wetness, and are my prayers valid?

Firstly, if a woman is certain of her purity, performs ghusl (ritual bath), and circumambulates (tawaf), then later sees some discharge, like a brownish or yellowish discharge, her tawaf is valid. This is because brownish and yellowish discharges after purity are not considered menstruation.

Secondly, if a woman doubts the invalidation of her purity after tawaf but is not certain of it, the default is that her purity remains valid. Doubt does not negate certainty, and her tawaf and prayers are valid. Ibn Qudamah said: "Whoever is certain of purity and doubts impurity, or is certain of impurity and doubts purity, remains in the state of what they are certain of."