JD,
Those things would certainly help. It's also important that the given alternator can produce sufficient amperage at the RPM that you operate. And a dedicated instrumentation battery with diode isolation is still an option.
A solar panel has less output on an overcast day and zero output in the evening, and a reasonably sized panel won't deliver much amperage. So it can definitely function as a maintenance device once the batteries are charged but won't serve the purpose as a desulphating restoration device when you have a serious discharge....which is exactly what you need. If the panel puts out more than 1.0 amp or so then you really need a Smart module to go with the panel. If I recall Phil with Kicker has some direct experience with knowing what to get.
As for the alternator, if you upgrade to a big boy you will have considerably more resistance and must upgrade your pulleys and belts also.
In any case, place the horse before the cart by taking some measurements at the correct times and locations so that you know precisely what you have before you go about fixing it. No point in spending on miscues.

David