A panel without a deadfront cover is openly dangerous and must be replaced promptly. Aside from protecting the user from shock, it also protects the user from arc flash.
The neutral-ground bar is extremely overstuffed, and there are many places where neutrals are not alone on their lug, as Code and UL have required since before this panel was made.
This panel is not listed for 2 or more grounds per lug (up to 2 #14-12 per small hole, or up to 3 #14-10 per medium hole), but your choice of accessory ground bar might behave a different listing.
Anyone's accessory ground bar can be used. If it is attached to the panel case with screws tapped 32 thread pitch or finer, this suffices as a grounding path. Do not put a screw on a twist-out.