Thats normal. It requires trial error, learning their sleeping pattern every month because it changes. As a fresh NB, they are still adapting to changes, so you will definitely have sleepless night. Alternatively maybe you can massage tummy, swaddle, turn lullaby and ensure baby fully sleep before putting down in cot. Maybe this work. Just try first.
My baby is like that too, she will be awake for 2 feeding during the night. It will eventually gets better. Its a bonus if she is quiet, sometimes she is fussy~