Mama, ang best thing to do now is makonsulta mo agad ang OB mo or mag-go sa nearest hospital para masiguro, hindi ito yung dapat palampasin lalo na if may bloody discharge ka. Even if walang pain pa, kailangan ng proper check-up dahil bawat mom at bawat pregnancy ay different.
Since nag-IE ka na kahapon at 1cm lang, siguro need mo pang monitor ng mabuti. One of my mum friends experienced similar at nalabas din na kailangan close monitoring lang, pero na-ease lang ang worry niya after ma-check ng doctor. Kaya don't panic, but please don't wait, better safe than sorry talaga, especially first time mo. Fingers crossed for you, sis!