Any decent
inverter will have several ratings - the most important will be the continuous rating - ie 1000 watts, which means it is capable of supplying 1000w forever (or until the
battery dies, which at close to 100 amps draw is not very long - perhaps 15 minutes for a 100Ah
battery and then only at the risk of seriously reducing the life of the
battery)
Often the better quality units will have a 5 minute (or even 30 minute) rating 50% higher than the continuous rating and it is OK to make use of this rating for short periods PROVIDED the cables and fuses AND
battery are able to handle the loads.
Use of a microwave AND a toaster OR kettle at the same time would never be a good idea even if the
inverter was big enough because drawing extra-high currents from deep cycle batteries is NEVER a good idea.
Generally accepted good practice is never to draw more than 50% out of a flooded
battery and 70% out of an AGM and then only if it can be replaced the same day. These draws are calculated at a current draw of 5% of the Ah rating of the
battery and the general rule is the higher the current draw, the lower the Ah the
battery will deliver. Treat them properly and they will last for years, hammer them and leave them discharged and you may be buying new batteries every few months
NB -- microwaves are a special case. A 750W (cooking power) microwave will draw more than 1000w from the power supply - which is why your (cheap????) 1000w
inverter won't handle it. Look on the ratings label on the back to get the true power requirements.