Compliances for new pvt ltd company

hi,

can any one help me to give latest update for necessary compliances for a pvt ltd company which is newly incorporated on 3rd June 2021.

a) what is the time limit for open a bank account/current account from the date of incorporate
b) time limit for auditor appointment from date of incorporate
c) AGM timelines
d) monthly and annually returns date
e) gst no. is available but gst sale purchase is nill all transaction in cash then how filled gst return?

please revert as soon as possible! your revert will highly helpful for me.