Can I name my accounts?

It is not possible to give your accounts/addresses a name.

Adding names to your addresses would require 2-way synchronization between ZERO & LIQUID. Synchronization is only possible from ZERO to LIQUID, not the other way around.
For security reasons we limit any incoming communication on ZERO to the data that is necessary to sign a transaction.
The additional data of the names would also not be included in your backup.