Strictly in terms of the science...
a 5 kVA transformer can carry a great deal more than 5kw intermittently... Wires and transformers are rated at 125% of continuous service, and the limiting factor is heat. The copper is fairly massive and it takes time for overheat to occur. there’s no limit to the overload if it’s short enough. 100kVA would be possible for a short transient.
Your house wiring is the same way, and your breakers are designed to tolerate overloads that the wire can handle.
Silicon cannot endure overload like that.
Still, in your case, you are probably doing great. None of your loads will add up to nearly 5000W, unless your computers are stupidly large.
Keep in mind, when sizing a solar/battery system, it is far cheaper to replace inefficient loads with efficient ones, than to provision extra solar and battery for the inefficient loads. So new MacBooks to replace the clunky old “PCs with 850W power supply”, can be part of the battery budget. Ratty old fridges and freezers should also be given a careful energy review.