To answer question 1, the main claim is correct.
Problem 2: The subordinate rights feel a bit redundant and do not help the main rights in any way. Recommended to delete.
In addition, as far as I know, there were similar products with multiple lead pencils many years ago. It's the kind of very thin pencil lead that can be put into a plastic pen holder and a length can be drawn out by pressing it.
So, I personally feel that your design is not novel enough and it is difficult to obtain patent authorization. I suggest you think twice before taking action.
Hope it can be adopted by you!