Which of the following statements is/are true?

1. Raghunath Rao, also known as Raghoba and Ragho Bharari, was the son of Nana Saheb.
2. He was Peshwa of the Maratha Empire from 1773 to 1774.
3. He was instrumental in the downfall of the Peshwa clan.
4. After the defeat of the Marathas in the Third Battle of Panipat in 1761, Raghunathrao seized the Peshwa throne for himself.

Statement 1 is wrong: Raghunath Rao was the younger brother, not the son, of Nana Saheb. Statement 2 is correct: Raghunath Rao (b. 18 Aug.1734 - d. 11 Dec.1783) was Peshwa of the Maratha Empire from 1773 to 1774. Statement 3 is correct: He was instrumental in the downfall of the Peshwa clan. Statement 4 is wrong: After the defeat of the Marathas in the Third Battle of Panipat and his brother's death in 1761, Raghunath Rao had decided to seize the Peshwa throne for himself, but instead the throne was passed on to Madhavrao Peshwa, Son of Nanasaheb. He was appointed as a regent to the young Peshwa, but tried to interfere with the administration. He soon fell out of favour with the Peshwa, and even tried to conspire against him by joining the Nizam of Hyderabad against the Peshwa.