If baby teeth are abnormal, will the adult teeth be abnormal also?

Possibly: That depends on what caused the abnormality. However, most common tooth abnormalities have to do with how the tooth developed. And since baby teeth develop when you are a baby and adult teeth develop when you are a child, there could be different circumstances (nutrition, an accident, taking medications, having a surgery) when your baby teeth develop from when your adult teeth develop.

Possible: It may be that way but that is not always the case. Not much can be done prior to them coming in so don't worry about it too much and if there are issues that arise with the new permanent teeth then make sure to see your dentist to get them taken care of.

Depends: If abnormality is size/shape, chance of permanent teeth being abnormal is small. If abnormality is positional (crowding, rotation, protrusion, cross bite, overbite, etc.) there is higher risk of same abnormality in permanent dentition. Ask your incredibly well trained dentist for advice.

Almost never: Barring some genetic or nutritional abnormalities, (which are relatively rare), any problems with primary (baby) teeth have no relationship to the development of permanent teeth. However, if the baby teeth have severe decay, are not well maintained, are ankylosed, suffer traumatic blows, etc. They may affect the development or position of the permanent teeth. So, get regular dental care ~ 6 months.