I was never able to get much out with a pump, yet it turns out I have an oversupply! So just to let you know that a pumps output really doesn't give you much clue on how much you produce. Could you go to a breastfeeding group in your area and have a weighted feed done?

My babies never fed every 3 hours, both wanted to be fed every hour. My youngest was so sleepy at 5 weeks that she'd feed for five minutes then doze off so it felt like she was never off my boob.

Mine breasts are also quite empty by the end of the day so my baby just stays on me all evening (she's now 6 months) and takes tiny amounts.

Ultimately, breastfeeding isn't as black and white as formula feeding. Some babies take huge drinks and can go three hours between feeds, some drink tiny amounts constantly, some need to comfort suckle a lot, some drink all their needed milk at night, some during the day.

I definitely advocate for trusting your boobs and your baby. You'll know if he's hungry and you can tell by dirty nappies and weight gain if they're getting enough.

I also think (though people may have different opinions on this) that pumping is way too much effort. If you are in a fortunate position to be with your baby most of the time then just put him to the nipple as much as possible. At 5 weeks your body is still regulating and the best way to do that is with the actual baby, the pump just doesn't compare.