Abandoned Property

My fiancé had lived with me since August of 2016, we are no longer together as of 3 weeks ago. I am wondering how long do I have to wait before I can keep her possessions or sell them. She has a key to my place still and comes and gets things when she needs them! I don't have a lease with my landlord. So, when is her stuff considered abandoned?

Personal property of mine was found to be on the wrong side of my lot line. I received notice from the abutter to remove the property within 30 days, but was unable to do so. When I did try retrieve the property, I was prevented from doing so by the abutter because I did not comply with the time frame he provided. Have I abandoned or lost ownership of that property?

North Carolina - A mobile home has been abandoned for more than 10 years and has been condemned by the county. The mobile home is not attached to the land by deed or anything. The owner of the mobile home has been given notice to remove the mobile home over 30 days ago. What is our legal rights as property owners to get rid of the mobile home?

Sold a travel trailer to a lady 3 years ago. She never transferred title. The trailer got impounded. She contacted me, said I could have the trailer back if I would get it out of impound as long as she could get her belongings out of it. I spent $1100 and retook possession of the trailer from the impound lot. She then has tried to get me arrested for stealing the trailer. It is titled and tagged in my name and up to date. I told her she can get the trailer as long as she pays me back. She won’t come get the trailer. Can I sell it as abandoned?

My tenant moved of the rented unit I own at Annapolis last week but has left behind a bicycle, some documents related to his insurance as well as old clothes. What do I do about these belongs as it is highly unlike that he will be back to claim it?