Re: Having problems establishing supply
Welcome to the forum and congratulations on the new baby!
My first thought is that you're probably not using the right pump. Most moms who are exclusively pumping or mostly pumping need to use a hospital-grade rental pump (e.g. Medela Lactina) with properly sized shields in order to get maximum stimulation and milk removal. If you started out with something like an Avent Isis, that could explain why you weren't having great results. Most off-the-shelf pumps are meant for moms who are nursing successfully and who have established milk supplies- they aren't great for moms whose babies aren't nursing or aren't nursing well, and who need to use the pump to bring in their milk.
I'd encourage you to see a non-hospital LC, preferably one who is an IBCLC. She should be able to evaluate your baby's nursing effectiveness, suggest positioning strategies which may help your baby nurse better, rent you a hospital grade pump, etc. She may also be able to refer you to a physician who can check you out for physical causes of low supply- things like thyroid issues (postpartum thyroiditis is extremely common), retained placenta fragments, or PCOS. That doc may also be willing to prescribe drugs for you if necessary, or at least discuss their use and whether or not it makes sense for you. Honestly, if I was only getting 5 ml per pumping session, I would strongly consider the use of one of the prescription galactogogues, provided that it was safe for me to do so.
Coolest thing my big girl said recently: "How can you tell the world is moving when you are standing on it?"
Coolest thing my little girl sang recently: "I love dat one-two pupples!"