Trojen

It is very unlikely that your iPad has been compromised by malware.

As for your email, as described, you can best tackle the issue that you have by changing your email account password. To do so, you will need to access your email account using the email providers web-portal (this perhaps being your Internet Service Provider - ISP) - from where you can change your email account password.

Having changed the email account password, you’ll need to update the account credentials on your iPad and other devices that you use to access your email. For iPad (and iPhone), assuming that you are using the native Mail App, you’ll need to update the mail password in two places:

Settings > Mail > Accounts > [Your email account] > [Account] >

• [Incoming Mail Server] Password
• [Outgoing Mail Server] SMTP > [Primary Server] > [Outgoing Mail Server] Password

If you are using an Apple-provided email address to send and receive email, you may need to change your AppleID Password; if you are using third-party email, changing your AppleID Password is likely to unnecessary.

if it was me then I would read

If you think your Apple ID has been compromised - Apple Support

and if it's other email accounts than apples then change their passwords too