I suspect that you have an electrical malfunction of the battery.
It happened to me few years ago on a similar Jazz. The battery was only 5-6 months out of warranty and suddenly the car refused to start.
After trying to start with charging cables from another car with no result (the engine was rotating but would not start), I took of the battery and took her to a service with battery tester. They said in anout 10 minutes that the battery would not accept energy from any source, I bought a new battery and and everything worked flawlessly again.
Luckily, the alternator was fine, passed the charging test required for the new battery warranty.