Yes, you can re-name Tab as per your organization requirement. Goto Setup >Tab Settings > Rename Tabs. Now, edit a particular module to change the display name of a tab. For more refer Tab Settings > Rename Tabs.
To hide few tabs/modules for your organization, Goto Setup >Tab Settings >Organize Tabs >remove the unwanted tabs from the display and save the settings.
Yes, you can re-order Tabs as per your organization requirement. Goto Setup >Tab Settings > Organize Tabs. Now, edit a particular module to change the display name of a tab. For more refer Tab Settings