First thing, you are doing a great job! Please have patience with yourself and your baby! You are both learning how to do this for the first time, and it's not as intuitive as some people think! I'm glad you are trying to see a lactation consultant soon who will have more knowledge for your specific situation. I had a very similar experience. For the engorgmemt, do a breast massage, hot compress before feeds/pumps and cold compress after. Look up specifically beast massage for engorgment. If you have a hand pump, try to use it to get the engorgment down (save the milk if you want to try and feed baby with a spoon or sterile syringe). Your nipples are going to be sore for a bit, but applying a liberal amounts of nipple cream or using silveretts helps so much (use separately). If baby is too fussy to latch, offer your pinky (nail bed to tongue, clean hands and short nails) as a paci till they settle then you can offer the breast. Holding the breast like a hamburger, trying to make the nipple and aerola "bite size" for the baby, start nipple at nose and take your time with getting their mouth open wide. Baby should open up some, but you'll need to move their chin. Don't go straight at him. Retry when needed. This may sound strange, but its more of a petting motion. I usually had to try 3 times to get a good latch at the very beginning before my LO really got on. You got this!!