oh, sorry, I see what you are asking.
No, there is no youngster weekend. Plebe parents weekend is designed to give the plebes some time to decompress after plebe summer and show their parents how much they have developed.
2/C parents weekend is there to provide transparency to the parents of the midshipmen who have just signed away the next 7 years of their life. It is an opportunity for the family to check out bancroft, follow their sons and daughters to meal and classes and just see what normal midshipman life is like.
Of course this is all hearsay for me, I missed my 2/C parents weekend because I was on exchange at West Point during the fall semester last year.