A throwaway inbox. Open the page and you already have an address. Use it to sign up for something, read the mail here, and forget about it.

Mail is deleted automatically after it arrives.

No. Anyone who knows an address can read its inbox. Use it for throwaway sign-ups only, never for banking, passwords or anything you need to keep. Remote images and scripts in messages are blocked.

No. Addresses are receive-only.

Some sites refuse known temporary-mail domains. Pick another domain in the selector at the top, press New, and try again.

Yes. Create addresses, read mail and stream new messages. See the API documentation.