Statement I accurately describes the formation of a pidgin language, where two speech communities with different languages attempt to communicate by utilizing basic features of each other's languages. This aligns with the definition and process of pidgin formation.
Statement II, however, is incorrect. Pidgin languages can indeed evolve into creole languages, which can become the mother tongue of a community. So, while pidgin itself may not typically become a mother tongue, it can develop into a creole, which can serve as the primary language for a community.