Its normal dear,Dont get tensed karkala,its part of mommyhood. For deep sleep,try rocking her gently and keep her on your lap till she falls asleep deeply and then gently slide down with her. Usually this small babies sleep nicely after a massage and warm bath,try it might work. Hang in there momma,its just the beginning,dont wana scare you but be prepared for this for atleast 3 months.

It is very normal..as she will grow she will get deep sleep..and body stretching is also normal

Hey check your baby if she has gas problem, generally babies stretches their bodies