I missed the fact the he's trying to drive a fridge/freezer.
600W? Ya, not so much. And besides, a 600W inverter, most likely one of those cheap ones, probably not even a modified sine-wave type. Try to drive an induction motor with one of those. You'd be lucky to get the thing to even turn much less drive a load.
Light bulbs? Sure... TV...maybe, but probably have a load of 60hz noise (amongst other harmonics) in the audio and maybe even in the video.
Laptop (and other) power adapters? Other than wattage, I don't really see any issues with driving those with a goofy square wave inverter...unless the peaks are too high or something.
I've got a Dell laptop also, 90W adapter/charger for the batt's. My small 200W inverter won't run the laptop AND charge the battery (laptop kicks into low power mode), but it'll either run the laptop OR charge the battery just fine. My 750W will run AND charge just fine.