New Hampshire doesn't have a specific auto-renewal law, but the CPA (no specific auto-renewal law) (N.H. Rev. Stat. § 358-A:2) plus federal FTC rules protect your right to cancel.
N.H. Rev. Stat. § 358-A:2
Penalties: Treble damages plus attorney fees
SubScrub automatically cites N.H. Rev. Stat. § 358-A:2 and federal laws