Please don't so things like this: "required???????????????????????????". One "?" will do. Thank you.
Again, Ah is used as a battery capacity, not a measure of current or load. So, you cannot have a 2Ah fan or light. I take it you mean a 2A fan or light.
So, you have a total current requirement of 5x2 (for lights) + 5x2 (for fans) = 20A. Is the battery intended to run the fans and lights? If so, note that your battery (60Ah) will only run this for three hours.
If you want to charge the battery quickly, you must use a charge controller and large photovoltaic panel. Ideally, a MPPT charge controller because that will get the most out of your panel.
Now, let's say that you have eight hours of full sunlight, and need to charge the battery from empty to full in one day. The battery would need (60/8)=7.5A , but charging is not efficient so let's call that 10A for eight hours.
Your total, maximum current requirement is now 30A, or 360W. Using an MPPT controller, you might get away with a 500W panel. Assuming that you have suitable weather...
Without more detailed information from you, that's my best guess.