What if my phone is activation locked and I don’t know my Apple ID or password?

See if you can recover the ID/password.

Apple ID - How to find your Apple         An iCloud e-mail address is an Apple ID.

Apple ID - Find

Enter the Apple (iCloud) ID and click Forgot Password.

Apple ID - Manage

Apple ID – Forgot Password

I'd say you were out of luck.

Activation Lock Problem

If you purchased the device second-hand, then it is useless without the Apple ID and password to which it is locked. If you don't have it, can't remember it or cannot get it, then the device is useless to you. Try to get your money refunded, if you can, or take it to an Apple store for an exchange provided they will help you. If you are the original owner, then take the device, a copy of your purchase receipt and identity proof to an Apple retailer where they may be able to assist you. For a deceased owner, you will need a certified copy of the Death Certificate, the device, proof of inheritance, a court order, and proof of your identity. Take all to your local Apple Store for help. Note: there is no guarantee that anyone can gain access to the device.

     Find My iPhone Activation Lock

     If you can't activate your iPhone - Apple Support

     Activation Lock - Turn off Find My iPhone