Brandon Scott Lavergne, 33, was arrested Thursday at his Louisiana home. He faces first-degree murder and aggravated kidnapping charges.
A search of Lavergne's home led to his arrest. Police would not release information on what -- if any -- evidence was found. Lavergne was convicted of aggravated oral sexual battery in 2000 and released from prison in 2008, according to the Louisiana State Police website for registered sex offenders.
Shunick was last seen riding her bike on May 19 just before 2 a.m.