When I push the contactor it all works but as soon as I let go everything stops running. What should I check for ? My run capacitor or my contactor ?

You have two LOW voltage CALL wires on the side of the contactor.. seems like you are not getting a call signal from the indoor unit or you have a dog that has chewed or broken wires.. they normally run alongside the line set from the house.. if the system runs when you push it.. then it can't be the cap.. . that would not allow it to start at all.. it would just hummmmm