I think you should get a jumper cable and connect to the negative battery, and then to the negative terminal strip in the panel. Usually you will have to put a piece of wire under a screw in the terminal strip and hook your jumper to that.
If your problems go away, then you have to look at the negative return to the battery. If they don't go away, take off that jumper line, and do the same thing with the positive battery to the positive terminal strip.
Both of those checks are easily done, and can really assist with troubleshooting by eliminating a lot of wiring.
The next step is to tighten all connections on both the positive and the negative wires, main feeds, and battery connections.