Apple ID

For the first question, You can also add 2 Factor Authentication to your account for more security. If the attempts continue, you might want to consider a name change.

Link to contact Apple Support in the article.

Apple ID has been compromised

Note the restrictions in the article.

Apple ID Name Change

 What to do after you change your Apple ID or password - Apple Support     I suggest doing this before you change your Apple ID or password.

Apple ID -Two-factor authentication

 Two Factor Authentification availability

 Apple ID - Using app-specific passwords

Apple ID - Two Step Verification App Specific Passwords

Apple ID - Two Step Verifications FAQ

For the second question,

 Apple ID disabled - Your account has been disabled in the App Store and iTunes

Contact iTunes Support. Either use the form or scroll to the bottom of the page in the 2nd link. Follow through the screens to get a chat or telephone option.  

iTunes Support

iTunes Support – world wide

Mikaylad_c Said:

”Apple ID:[...]someone has been trying to log into whatever device using my Apple ID[...]maybe it’s the same person but they made a purchase using my Apple ID[...]”

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Any Recent Sales, Give Aways, or Trades?

Have you recently sold or given away any of your Apple devices? If so, and you did not erase it or unpair it from your Apple ID, then that may be why this info is being accessed. Your Apple Account Credentials are most likely on that device.

For Reference...

Use the Following Apple Support Links:

What to do before you sell, give away, or trade in your:

• Mac - Apple Support
• iPhone, iPad, or iPod touch
• Apple Watch or buy one