Palimony in NJ?

In 3/2001 I moved into an apartment in NJ. My girlfriend moved in 2 weeks later. We became engaged about a month after she moved in. A few months later she had to be added to the lease in order to use the community facilities.

In 6/2001 I found out she had stolen my work e-mail password & spent at least a month reading my e-mails. SHe called co workers & told them I was having an affair with a coworker, which was not true at all. The CEO even found out. I went home & broke off the relationship. She responded by making up a story to the police that I hit her & they arrested me & issued a restraining order. The order was dropped & the simple assault charg also dropped when she did not show up in court, but did send a letter to the judge saying it was all a misunderstanding.
When the RO was dropped & I went back home I found that she had moved out & taken all my furniture with her. All these things had been purchased by me before she moved in, although she did shop with me & helped me pick some things out. I threatened to take her to court & tell her family the entire story (she had apparently told them some other version of events), & she ended up having my belongings returned to me.

That should have been that, but I was dumb enough 3 months later to get back together with her. She moved back in in 9/01. In order to protect myself I had installed a logger program onto my computer in order to tell what was happening when I wasn't around. What I found was she was doing the very thing she had accused my of: I found e-mails between her & another guy making plans for a date & also found out she had a personal add running online.

Last week I ended the relationship. She refused to move out, telling me to move out. The next day she got laid off. She won't even leave my bed & sleep in the spare bedroom & I am afraid if I try to force the issue she will make up another story to the police. She keeps cooking, cleaning, like nothing was wrong. On saturday she even mentioned Palimony. I told her she was nuts, but now I am worrying. If I leave I am still liable for the rent, which she can't afford. If I stay I may be adding to her palimony case, if she has one. We have lived together for 6 months since getting back together, I find it hard to believe she could get me for palimony. We are talking about a 35 year old woman with no kids & a history of making $35K to $50K, although now she is laid off. I make $80K.

Sorry this is so longwinded, but any advice is appreciated.