May I ask how you are judging your supply?
It is easy to think there is a supply problem, or to worry about it, when there is no reason. (I've done this myself...I breastfeed at home and pump while I'm at work and I worry when I pump less on certain days.)
As long as your baby is making a normal number of wet/dirty diapers and is gaining weight at a healthy rate, then there is no cause for concern.
He is eating almost every hour and gets frustrated and suck hishand and cry.
If you have a pump try power pumping. Its a good way to keep up your supply and save some too
That's nit good that he is getting frustrated and sucking his hand. My best advice is definitely don't give up! Call lactation consultant at your hospital tomorrow! Maybe baby is having a latching problem or something but this sounds like something that with the right help.And support you and baby can overcome! :-) hang in there momma it can challenging but it is sooo worth it. Good luck
Also at 6 weeks roughly babies go through a growth spurt again and eat like crazy every hour is not unreasonable breastfeeding. My son ate every 45 minutes to an hr. And if given formula 4 oz every two hrs! At that age.
Are you drinking enough water ??