Statement 1 is correct: IN-SPACe (Indian National Space Promotion and Authorisation Centre) operates as a single-window, autonomous nodal agency under the Department of Space, formed to promote, authorise, and supervise space activities of Non-Governmental Entities (NGEs) i.e., private entities in India.
Statement 2 is correct: Agnikul Cosmos achieved a historic milestone with the maiden launch of Agnibaan SOrTeD, the world's first flight using a single-piece 3D-printed rocket engine.
Statement 3 is not correct: Skyroot Aerospace develops its own Vikram series of rockets, not fuel for GSLV. Skyroot's Vikram rockets use Kalam-series solid fuel engines.
Sources:
The Notification for the Civil Services Examination, 2021 was released by the Commission on March 04, 2021. The notification contains all the details related to the examination dates, number of vacancies, eligibility criteria, syllabus, application process, fee, exam centers etc. The exam is being conducted to fill in 712 vacancies as listed in the notification with 22 vacancies reserved for Persons with Benchmark Disability. The Preliminary examination will be held on October 10 2021. Candidates can visit the Commission’s website  to fill the application form. Detailed instructions for filling up online applications have been provided on the website. The application window was closed on March 24 2021. The admit cards for the Preliminary Examination were made available from September 16 2021. The admit cards can be downloaded from the Commission’s website on the above mentioned link.