A True Teenage Psychic, Or Something Else?

I'm currently sixteen. When I was younger, I saw colored balls of light in my bedroom doorway, moving in and out of one another, a static-looking figure standing over me while I was in bed, and a figure in my grandparent's bedroom.

Now that I'm older, I hear my name being called, feel like I'm being watched often, have premonitions, deja vu, and precognitive dreams.

My father, mother, aunt and grandmother have all had experiences, and I've heard this sort of thing runs in families.

What really made me pay attention happened just a few months ago:

I had a dream that my grandfather had to go to the hospital because of chest pains, my uncle called my mother to tell us, and my uncle agreed to spend the night with my grandfather in a spare bed. The next evening, it happened, right down to my uncle's shirt! He wore the exact same one as in my dream.

I am a very emotionally sensitive person (hate animal and human cruelty, have wanted to be a vet my whole life, etc.), and I feel drained when around many people. Some have suggested I might have some empathic abilities?

Also, sometimes, when I lock eyes with people in public, I feel like they can see right through me (this just started recently).

Any thoughts? I appreciate any and all feedback.