You are doing so well in what is a tough time. Just a few points- my DD wouldn't ever sleep in the pram in the shops even when very young so I just didn't take her out to save our sanity until things settled.
I too went to Ngala for a day stay and found it fabulous- very supportive and relaxing and you only do what you are comfortable with. I was very happy with my stay there!
Your bub sounds very much like my DD and her sleep patterns/behaviours early on but am happy to say that things do get better!