I guess the only way to accomplish this is to install the (free) Evernote desktop client, select all notes and choose "Export..." from the File menu.
There are different export formats available: Evernote (.enex), Web Site (.html) and Web Archive (.mht).
For new incoming emails:
In settings, Forwarding and POP/IMAP, add a forwarding address.
Also, you may want to set a filter "is:spam" then "Never send it to Spam" to also forward all emails. ( I prefer to have all my emails backed up, and manually remove spam later.)
For exisiting emails, first, in Google Apps email account, in settings, Forwarding and POP/IMAP, "Enable POP for all mail". then import them into your backup gmail account using POP3 in settings, Accounts and Import, "Import mail and contacts"
Important: In your main account, remember to select option to leave existing emails in your main account(In POP Download:, "2. When messages are accessed with POP keep Mail's copy in the Inbox"), else the import will move all the emails into your backup account.
Also, this might help: Migrating Gmail account to new Google Apps email and leaving a copy behind
Best Answer
You can download all your Facebook account following this guide : https://www.facebook.com/help/131112897028467/
It will download all your Facebook data :