The same conect some grounds and neutrals to the ground bus bar just using whichever bus bar is closest to the breaker so the wires don't have to travel all around the breaker box is that OK and safe to connect wires like that thank you

If the Main Breaker is in this panel, the neutral and ground bars are connected together, or should be, so neutrals and grounds can be mixed on either bar.

Is the main breaker in this panel?