Oh girl, first time mommy, understand your anxiety.
but all the 3 things mentioned here are really normal.
Its normal to hiccups, either to try to pat his back till the hiccups are gone or you can dont'T CARE about it. Though it may look uncomfortable, but seriously it is not painful to the baby and does now harm baby at all. so long as he did 'Ururgggghh' (burbed) after each feed, then he is fine.
The more the baby is wrapped up. The more secure he feels. 'cos in our tummy, space is limited, hence he is always curled up in a ball. When he is out, wrapping him up tightly will give him the security he is comfortable in. dont't worry, it will never be too tight. UNLESS AUNTIE had used a ROPE!!! Which i doubt.
the face-red-when-crying is also super normal. Nothing to do with the tying up.
in our tummy, he does not have day and night. he sleeps anytime he wants to. Its in his system. He is only 2 weeks old. some babies will only recognise sleep in night, play in day only 1-2months later. It is normal. so for you, mommy, you must change your habit to his habit, so that you will not be so tired. When he sleeps, you sleep. when he is awake, you have to be....
Jiayou! We have all gone through all these and we have survived. YOu will survive too....*wink*