Hi No2riusorly,
Thanks for using Apple Support Communities. Based on what you stated, it sounds like you want to sign in to Game Center with a different Apple ID. I would recommend that you read these articles, they may be helpful in troubleshooting your issue.
Using Game Center on your Mac or iOS device - Apple Support
If you need to sign in with a different Apple ID, follow these steps:
iOS: Go to Settings and tap Game Center > Apple ID > Sign Out.
When you sign in with a different Apple ID, you'll see different scores, achievements, and friends.
If you need to find the previous Apple ID follow this.
How to find your Apple ID - Apple Support
And this
If you forgot your Apple ID password - Apple Support
Cheers,
Mario