Generally speaking, not all eggs are vegetarian, because eggs still have a chance to give birth to life. This is why we should protect the eggs of rare wild birds at the same time.
If you are a vegetarian, you can't eat it.
Milk belongs to vegetarian diet.
Because its production process can't hurt cattle. Traditional natural grazing does no harm to cows and calves. However, many industrialized milk production processes are abusive to cows, such as forcibly separating cows from calves, over-milking, and even slaughtering calves. So many vegetarians don't eat dairy products either.
Try to drink all kinds of grain soybean milk and vegetarian nutrition.
I wish you health and happiness!