I don't remember the Apple ID I entered on my previous phone and now my phone is locked Model 5s

Take some time to really think about this so you might be able to remember the Apple ID and Password. The Apple ID is usually an email address. This Apple Support document might help:

If you forgot your Apple ID password - Apple Support

Unfortunately, you will not be able to access the iPhone 5s without knowing the Apple ID and Password that was used with this device.