Executions and Grapple count against the crossbow one. On the first level just kill everything with the crossbow and DON'T kill any in the creek bed. And start again and sprint through the first level for the no damage/no kill ones.
Currently Playing: Halo 4, Fallout NV,3 Waiting for: The Walking Dead: SI
crossbow I did the Sedalia map just ignore getting batteries in the police station if u get grapped push away same goes for the no damage remember it doesn't work if u just restart the level this one was tough for me