Methods and apparatus for using different frequency bands are described. In some embodiments a first frequency band which is a licensed spectrum frequency band is used for peer discovery, device authentication, session establishment between peer devices and/or supporting an ongoing communications through control signaling. When available, a second frequency band, e.g., an unlicensed public frequency band is used for communicating data while the communications session is maintained using one or more control signals communicated in the first frequency band. Data and control signaling may be performed on a time division basis during a time period in which data is communicated.