The nock point is where the arrow clips on to the string. Those brass things are called brass nocks, and their squeezed tight onto the string. They are put there so that you always know where to nock your arrow (If its not the exact same place everytime, you will have up and down variation is your shots). If you shoot with fingers, I usually put just one nock on the string to keep the weight down, but two is fine as well.
When you clip the arrow on to the string, it should meet the string with a 90 degree angle. If those nocks aren't in the right position (as in, when your nock is butted up to them, or in between the two, whatever the case may be), then you might as well take them off because they are doing nothing, and have them put in the right place. If you shoot with a release there will be a d loop on the string, but you haven't mentioned anything like that so I will not go into further detail unless asked.
Now where you closer to me (I'm in Canada lol) I would offer my services in case you wanted to swing by the shop I work at, and I could set it up properly for you(if it isn't already I mean), and explain what I mean a little better. You can always take it to an archery shop if your unsure about anything.