The correct answer is option 3, meaning both statements 1 and 2 are correct.

Statement 1 is correct because India did in fact launch its first full-fledged meteorological satellite (METSAT), also known as Kalpana-1, in September 2002. This launch signified a major milestone in India`s space program as it was the country`s first dedicated meteorological satellite, which was designed to improve weather forecasting and disaster warning systems.

Statement 2 is also correct, as PSLV-C4 indeed carried a payload of more than 1000 kg into a geosynchronous orbit. Specifically, it was launched in 2002 carrying the METSAT. This launch marked the first time the Polar Satellite Launch Vehicle (PSLV) had carried such a large payload into a geosynchronous orbit, demonstrating the vehicle`s versatility and capability.

Hence, both statements are true, making option 3 the right answer.