You mention eating applesauce. As far as I know there is barely any Protein in that at all. If I were you, I would not eat or drink anything that was not a protein source in the beginning especially when you have such limited capacity. But I also wouldn't stress out if you can't hit the exact number they want.
For me personally, I could not get anywhere close to what they wanted me to get protein wise if I ate too much actual food. So I lived off of protein shakes. Atkins shakes mosty. Caramel Cafe and chocolate. They have 15 grams of protein in each shake. If you attempted to drink 4 of them in one day that would be 60. In reality, I could not even do that but I tried. I was constantly sipping . Sipping Water and sipping shakes. Still at 7 months out, I drink a ton of shakes to meet my protein requirements.
Do what works for you and don't worry too much. As time goes on you will have an easier time getting it in!
Oh about the hair loss... it happens to some people . Do your best getting in your protein and taking your Vitamins to avoid it but at the end of the day you may find it happens anyway. I did. It really freaked me out initially. However it was like shedding. I always had hair on my clothes. I would find a few clumps in my bra lol that had fallen out during the day. I would take a shower and it would come out in my hands. Yes it bugged me a lot but to be honest nothing I did made a difference in stopping it . I will say that it stopped. I never lost my hair to the point that anyone but me noticed it. And it seemed to start around 4 months out and stop around 6 months out. But even if it does, it will grow back.!