NEW YORK — The Nets parted ways Jacque Vaughn on Monday after a frustrating 21-33 start. The responsibility of getting this seemingly broken franchise into the postseason now rests on the shoulders of interim head coach Kevin Ollie, league sources confirmed to the Daily News. “To Joe Tsai, Clara Wu-Tsai, Ollie Weisberg, Sam Zussman, Sean Marks and front office, Nets coaches, staff, players, BSE family and the entire Brooklyn borough: It was a pleasure being your Head Coach,” said Vaughn in a statement to ESPN. “I hope each individual I interacted with felt respected and valued. Just know I gav…