Cycle came sep 15-18 had intercourse sep15 cycle came back october 12-15 spotted 23and25 of october could I be 14weeks and 1 day pregnant?

Sure. Check a pregnancy test but what has happenned since? It's january. Go get a upt, you need to start some prenatal care if u have been having unprocessed intercourse, that's how it happens. Gd luck.