My iPhone 5s does not accept my ID nor my Password... ??

Click->If you forgot the passcode for your iPhone, iPad, or iPod touch, or your ...

Click->If you forgot the answers to your Apple ID security questions - Apple ...

Click->If you forgot your Apple ID password - Apple Support

Click->If you forgot your Apple ID - Apple Support

Do you have access to another WiFi network where you can try? That has worked for several people.

Try a restart.

Restart your iPhone, iPad, or iPod touch

Try a forced restart.

Reset Device

If necessary

Hard reset

Do a backup and try a factory reset. Then restore from your backup.

Restore to Factory setting

Backup - Restore your device from an iCloud or iTunes backup

What's the exact error message you're getting?