If a hep b positive person washed hands in sink would the blood and virus be pulled out of the plug hole with the soap and water? chances of contracting hep b if i use this sink for washing plates and cutlery?

From what you described, the risk of getting Hep B is remote. A vaccine is available for Hep B and you should get it, For healthy diet: http://www.choosemyplate.gov/., exercise 30 minutes/day, drink enough water daily so your urine is mostly colorless, have safe sex, no tobacco alcohol weed or street drugs. Get HPV and Covid vaccines. Wish you good health!