My snake was born with small eyes and a pointed snout. Is this genetic?

Odds are no. 

So when we look at abnormalities, we need to keep in mind there are two major factors to a snake developing into a happy healthy snake:
     1. Its genetics- or the instructions left by its parents to build that baby snake. 
     2. Its incubation- the resources, and ability to carry out the instructions.

If a problem happens with either, that's where abnormalities come from. 

So! Lets address this most common abnormality. If we look at house snake embryology you’ll notice that the entire face actually develops at a pointy shape before it rounds out later in development.

Now if we look at the ocular migration, (slide D) we can see that the eye actually develops very much so near the beginning of development. So! Here’s how this all applies.

If during incubation the egg experiences a rapid rise or drop in temperature/humidity/oxygen during the migration stage the development of the eye can be shunted, or fail to develop entirely (no eyes!)

If it doesn’t develop properly the system will use time & resources to try to repair it, but subsequent stages will be delayed and need to “work around it” so to speak. Since the rounding of the face is the last thing to develop, it may run out of resources to finish that task, and hatch with a slightly pointy face instead.

This is typically an incubation issue, not a genetic one. However, if for some reason the animal later produces only pointy face small eyed babies, that would mean she suffered a spontaneous change in her genetic code, which is now preventing the hatchlings from proper development simply because the instructions are not there. But this is highly unlikely to happen.

​This is almost always an egg that was smaller from the gate (less resources to spare), then was attacked by mold or experienced an instability early in development.

​Hope that helps!