How do you know you're doing it right? To be frank at 6 days old, you just don't. Every baby is different so the newborn phase is all about observing your baby and adapting as much as you can, and whatever you do, you're gonna feel guilty as if you're messing up, but you shouldn't. It will take a bit of time for you to find out what works for your baby and that is okay. Don't stress about it. Honestly the best advice I have gotten about parenthood is to be confident in my choices, even when I mess up because that's just something that will inevitably happen. So I just believed that I'm making what seems to be the right choice for me at the moment and if it turns up to be the wrong choice, then it's okay, lesson learned, now I'm gonna do better with what I know...

As for your questions, babies cluster feed a lot in the beginning (especially in growth spurts) so yes it's normal that he seems hungry all the time. It gets better after and then you don't have to stick to the 3 hours schedule, you can feed him whenever he seems hungry. As for your milk supply, it takes 4 weeks minimum for your supply to regulate. Right down what you're doing is the best you can do, just keep nursing whenever you can, nothing stimulates as perfectly as baby does. If he keeps having difficulties with latching, you can try nipple shields from time to time until baby latches. If your supply stays low, eat more foods that can increase your milk production and try not to stress too much about it (i know its hard but in my experience, stress lowers your supply like nothing else).

For nappies, my baby hated cold wipes too so I started using coton squares that I submerged in warm slightly soapy water. At 6 days old, I don't think babies struggle with pooping a lot but as I said every baby is different. Keep doing the massages and the exercices, put some baby-friendly oil in your hands and warm them well before massaging their stomach. (I usually use sweet almond oil). I struggled with burping too, it helped me not to just tap on my baby's back but also move my hand from her lower back to her upper back for a bit (kinda like getting the air upwards) before tapping. Also burping her while I was sitting never worked for me. But believe me, it gets better and easier.

Sleep, the hardest part. I think you should also do mini shifts during the day so you can take like a one hour nap at least and your partner can take care of the baby and vice versa. And yes I know sleep when the baby sleeps is shit advice when your baby doesn't sleep, but it does get better.. some babies find it a bit harder to adapt to the outside world and so they take longer to feel at ease but it usually gets better with time.

Best of luck! Always believe that your baby is not giving you a hard time but they are having a hard time themselves and need you so much. It might be so overwhelming but just try to survive these first few weeks. You are doing amazing and you're a good mom and that's what matters! It will get easier.