The math works out, but the real world is always different. Batteries don't store as much when they are cold, panels don't produce as much with bad weather, etc... I would think adding some panels and 2 more batteries would get you close to 100% up. Keeping things on a budget is tough and this incremental approach is probably best. If you are still experiencing downtime after this, you have the extra capacity provided by the batteries onsite and would only need to increase your solar yield during the day with another panel to bridge the up and downtime gap.
BTW, what is using 5watts of power 24/7?
