It is better to list the appliances energy use and length of time of use to get a clear picture of stored energy required and the specs of the stored energy unit. This is found on an appliance label as a Max or general energy need or more accurately with an inexpensive watt meter but some of which don't measure surge or Max loads of an appliance. Some appliances have high start up or surge loads and what if more than one start up at the same time? Can the inverter in whatever system handle that and more than once? So IMO, it is difficult to know what to suggest to fit your real needs. Also, I have 2.3 KW of panels and 10 KWhr of batteries in my house basement, where I have had my off grid energy systems for 20 years. Due to my remote rural location, I did not seek a permitted or insurable solution for several reasons, such as costs, changing and unrealistic expectations of both and no support services or regional support other than distant police or wildfire suppression, maybe. Anyway, I found 2+ KW of solar panels and 2+ KWhr of battery to be a minimum and in weeks of winter that isn't enough.
You don't mention your off grid situation re: system in a house?
Steve's suggestion of a portable type battery power unit could be a good enough small solution, but without an appliance energy use list, 1.2 KWhr seems small and expensive for what end gain?
I also suggest you read the beginner and other forums as questions like yours have been discussed many times already.