Is there a way I can do a bulk delete of emails and documents?

Yes. Checkmark the documents/emails you want to delete, or click the checkbox in the column heading to select all. Then click Delete to delete the selected documents/emails.

This can be done from any list, including your In Tray.

You can also use Bulk Update of FIling Details to file multiple documents/emails at the same time. Refer also to Selecting Documents in a List.

Note: If you do not see the delete option, it may be because one or more of the selected emails or documents cannot be deleted. Refer to the FAQ Why can I not Edit or Delete an email or document?