Can I give a member admin access to manage the Team?
Yes. In Team, open the member (or New Member), choose the Admin role, and select the Team (manage members and view history) page permission. This box works only with the Admin role and is never selected by a shortcut: you select it on purpose.
With it, the member sees Team in the menu and can do there what you do: create, edit, change passwords, and remove members; grant access to pages and accounts in your account (including to another administrator); use Log in as on members; and see the history for all accounts. The only restriction is that they can't remove themselves. Removed the permission? It takes effect immediately.
Still owner-only: My Subscription (plan and billing).