yeah, most of what newborns do are just reflexes:
moro reflex- when support for head is suddenly removed, reflex response is to extend the trunk, and flexion-adduction of limbs. disappears at around 3 mths.
stepping reflex- walking movements triggered by holding the infant upright with a forward slant and placing the soles of the feet against the ground. Disappears at around 6 weeks
placing reflex- triggered by holding the infant upright and drawing the top of one foot across the bottom edge of a table. Response is to flex and extend the leg. Disappears at also about 6 weeks.
Sucking reflex (as birch stated) triggered by stroking the lips. The associated rooting reflex is when the cheek is stroked. Response is to turn the mouth toward the site of stimulation. Reflex continues till about 4-7 months.
Babinki reflex- is positive, with fanning of toes in response to stroking the side of the sole of the foot. Reflex disappears at about 3 years as descending motor pathways become established.
as for self awareness, newborns up until a certain age are not self aware. like birch said, newborns kick at the air but dont realize they are doing it. They may scratch themselves but aren't aware that they did it to themselves. Self-awareness develops later.
Cite for reflexes: Clinical issues in anatomy college text (human anatomy 5th edition: martini/timmons/tallitsch