Congratulations on your little bundle of joy.
I too used to let my baby sleep on my chest after feeding in the middle of the night. And you're right, one night I tried to roll over! I had a large bed and I woke up mid-roll so nothing happened, but it taught me not to do that anymore.
As for hiccups, it seems like all babies get them frequently. When mine was an infant (32 years ago!) we used to give water, but I understand they say no water now so I really don't know!
Enjoy every minute with this precious package!