Spyware problem

Troubleshooting a "Hacked" Device:

Just like anyone, your best options are to secure your account (open and use a new eMail address for your Apple ID), and add everything manually. As for your current phone, set it up anew, as if you were to sell it.  In Depth.

Four Things Here:

A. Modify your Credentials:

Having so much suspicion, consider modifying your credentials, ASAP, starting with a new password.

• Modify: your login credentials (using both a New eMail and a New Password) for Apple and each and all sites
• Associate: a different method of payment to your account
• Enable: Two-Factor Authentication for Apple ID PayPal and for all other accounts that have such an applicable option

B. Verify Your Devices:

Verify that your the devices logged in to your account or officially yours, by using this link: Check your Apple ID Device List to See where you're Signed in - Apple Support

C. Report this to Apple:

Have any suspicious items on the screen (i.e. messages)? Use my User Tip: Using the Photos App to Report Scams: - User Tips

and...

D. Set this Up Anew:

If you are so concerned, then reset your iPhone, as if you were to sell it. Perform as interacted here, including the backup: What to do Before you Sell, Give Away, or Trade in your iPhone, iPad, or iPod touch - Apple Support