Welcome to the family. You have the same draw length as I, so I can help you with your arrows. I shoot wood, lots of aluminum, and started with carbons last year.
I usually advise for aluminum, for the price factor and consistency. For a 50@28 bow I would suggest 1916 cut to 27.5 or 28 (Your draw length may lengthen as your form develops). I find that a lot of my bows like a 2013 shaft, cut to 28" and with a 175 grain head on them. Just seems to be a good balance for my longbows and recurves ranging from 52 to 47 at 28".
Gold Tip 35-55 shafts are proving to be my favorite carbon. Again, I am using a 175 grain head, and I am cutting them to 28".
Ask lots of questions, but be sure to use the search feature here. A lot of your questions have been asked before and answered by folks with lots of experience. I have only been shooting for forty-five years, but there are some here with more years and a faster learning curve. :D
Killdeer