Some babies just get it and some just don't. I've had both! Even when it is all working well, the first few days are pretty sore and I'm wincing just at the memory of it all! I used to wiggle my feet, counting to 10, to get the worst bit over.
You are doing really well. Do call the midwives if you have concerns and they should send someone out to you. I had midwives out 3 times on day 2 with DC1, as someone would come, help for a bit, leave us to it and then they'd come back or send someone else to see how things were going.
There are good breastfeeding helplines to talk to a real person. Anyone is welcome to phone them whether they did NCT classes or not.
www.nct.org.uk/branches/north-east-northamptonshire/breastfeeding-support/breastfeeding-helplines
Assuming you are not in Scotland where Monday is a Bank Holiday, things should be back to normal on Monday and I'd really, really recommend doing everything to get to a breastfeeding cafe to get someone to have a look at things.
At the moment, your job is just to sit and feed, so don't feel guilty about doing nothing else. Sit in bed, find something good to watch, drinks and food at the ready, top off and snuggle together until you two learn together.