Consider the following statements regarding the foundation of the Bahmani Kingdom:
1. It was founded by the 'Amiran-i-Sada' (Centurions) who rebelled against the oppressive policies of Muhammad bin Tughlaq.
2. The founder, Alauddin Hasan Bahman Shah, claimed descent from the mythical Persian hero Bahman.
3. Its first capital was Bidar, which was later shifted to Gulbarga by Ahmad Shah Wali.
Which of the statements given above are correct?