Solar Powered Green House
Designing PV system estimatimating the power output is not an easy feat. It depends on many things like your local weather, temperature, angle of your panel local shadings, efficiency of the inverter, Rser of the batteries and it also changes with seasons.

There are softwares out there that can help you, the most used one in industry that I know of is PVsyst which comes at a cost, but they have a demo version you could use, but the region is locked.

You also have some web-based calculator like this one that can give you an estimate although doesn't support batteries.

Once you have a good estimation of your PV system performance, then you can calculate the battery size you would need based on power consumption and operating hours of your lights.