can spontaneous AMS be passed on to future children?

Nobody in my immediate or extended family has moles. I, however, am covered in them. I wore sunscreen as a child and grew up in a relatively cool climate. I'm assuming my moles were not inherited, but spontaneous in nature. My question is, can spontaneous AMS be passed on to future children? I have a baby and am wondering what to expect. Also, if it matters, my moles are "normal" and not considered dangerous. However, I easily have 100, although most are tiny and flat, like freckles. I'm baffled as to why no one else in my family has this. I'm hoping, since in my case it isn't genetic, that I didn't pass it on to my daughter. Any insight would be appreciated. Thanks!