If you have engorged veins near your breast, it means that you might have mastitis
. Mastitis is when the breasts are infected and inflamed due to some reason. I am going to list the causes for you below.
If you have any of these risk factors, I want you to meet a GP who will start you on antibiotic therapy. If it is due to excessive milk, you can express the milk into a bowl and then the pain should be relieved. I hope this helps you. All the best.