Yes and yes! In fact if you go to the website and listen to the last few sermons by Bob Bonner on Romans he covers this area. They are affiliated with the Northwest Conservative Baptist Association.
CCC is part of the Conservative Baptist Conference. As far as unconditional eternal security, the teachings are that if you have made a confession of faith, and that you have accepted Christ as your Lord and Savior then your eternity with Him is secured. If it's not a true confession of faith, then no.
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