Can i charge more rent for month to month in NJ ?

[Margharita Silva]

Hi everybody, 

I have a tenant in my condo in NJ.

She sent me an email asked me out of the blue if i intend to offer her a new lease once her lease is up and asked me "my intentions"? This same tenant very abruptly wanted to leave a few months ago but then changed her mind all of a sudden, so i was assuming she would leave when her lease is up (in 6 months) but she emailed me asking if i will renew her lease. 

I feel a bit naive about responding to her on email right away and saying i would offer her a new lease if she wants and only charge her $10 more because the parking fees went up. 

I thought she would follow up thanking me and expressing some thoughts but she just complained about the stove and asked me to fix it instead (which is fine) 

To cut it short, i regret emailing her so casually and saying i won't raise her rent and since she didn't jump on this, i am wondering if i can offer her a month to month or a 6 month lease but with a much higher amount when her lease ends?

For example can i say option a) 1 year lease with X amount (with $10 increase) b) 6 month lease or month to month with X amount (say $50/60 higher) 

We don't seem to have very communication with this tenant and she has been very abrupt lately, so i wouldn't be surprised if i get another surprise from her so i just want to have some security if she abruptly decides to move again. 

Thank you!