Performing Wudu
You need to rub for extra washing it is normal washing Water doesn’t turn contaminated when it touches your body unless you wash some filth with it.
You spit it out. No harm on accidental intake.
Also Dr. Irfan Shahzad, I read somewhere that someone wrote a little bit of mucus on the face does not change the nature of water. But if I have lotion all over my face or oil all over my head, wouldn’t the nature of water change based on the above logic? What are your thoughts? JazakAllah and sorry for overwhelming you with so many questions!