As a tenant, you would be entitled to receive a copy of the EICR, but would not expect to receive the EIC or Building Control notification, unless your landlord for some reason thought he/she would like to share it with you.
A little odd that the next inspection date is missing on the EICR, normally it would be 5 years, perhaps accidentally missed off.
Edit: You can search the local authority planning registers for building control notifications, should you want to check notification was actually done.