Hardly any babies really sleep through the night at 6 weeks. If you had 4 that did that, you're extremely lucky. 6 months is much more common. The binky is fine until it falls out of their mouths - so it doesn't work most of the time.
If she's eating a lot and not just wanting to cuddle, she's hungry. Could be a growth spurt, could be some other adjustment. If she just wakes up and can't self-soothe herself back to sleep and expects you to do all the calming/snuggling, that's another issue. You can give her some solids, or you can look into something like Ferber or Cry It Out depending on your philosophy. If you don't feed them, they cry back to sleep (it's hell for about 4 days but if you can stand it and don't think it's cruel, it works), and then they eat more during the day. Whatever you choose, think it through and then stick with it. If you change it up every couple of days, they don't get any message you're trying to convey.
Of course, by the time you get it figured out, she could be through this phase and on to the next one!
But you definitely need some rest, and she'll soon be at the age where she needs it too. Good luck while you get there!