Plymouth was established for religious freedom. Back then, People persecuted people who believed a different religion.
Their problems were poor food nutrition, there wasn't a lot of food and they were freezing so therefore more then half of the people on the Mayflower died.
I would start from the beginning by getting every one on the ships, but every one must have their own supply. To get rid of the cold, I would bring quilts because they probably didn't have big heavy and fluffy blankets at the time.