Sister Falsely Accusing Me Of Pedophilia

Location: Michigan, USA

Hi.

For approximately the past five years, my (26f) parents have been snowbirds (people who stay in the southern US for winter, and in the north for the summer). During these past five years my sister (37f) has begun fights revolving around me living in my parents' home. Our father recently passed, and these fights have escalated.

The police have been called to the house twice, once for suspicion of theft, as sister had entered the home without my knowledge, disconnected the internet router, and told our mother the she was taking it from the home. She had not removed it from the home, but purposely hid it in another room, which we did not find out until she informed our mother over the phone, as Mom was in Florida at this point. The second time was because she had returned to the home over a month later, picked a fight with me, and refused to leave when asked or told.

My mother and I found out from an aunt today that she had accused me of having a sexual relationship with a minor. Our other sister (45f) and her fiance claim to have seen a vehicle similar to the one I am currently driving in the parking lot of a local high school, but both claim to have not verified who was in the car.

Any and all claims of pedophilia or sexual relationships with minors are entirely untrue and completely unfounded. I was not in the car at the high school, and I frankly find high schoolers disgusting. I do not want to be around anyone who cannot legally enter a bar after 9 pm.

I have no proof, but I believe she has been sabotaging my attempts to get more gainful employment. Is there any possible legal standing I have for slander?