Sit and start is relative and league dependent, so consider some of these suggestions more “fliers” and “fades” (note that some are targeted for DFS).
Good luck with your Week 1 lineups.
Parker has been dealing with a hamstring injury for a few weeks, although he returned to a limited practice recently. He should be viewed as a WR3 at best at less than full strength and against a Patriots secondary that allowed the fewest fantasy points to wide receivers last season (note Stephon Gilmore, who would shadow Parker, is dealing with a hamstring injury himself).