Wa alaikum salam wa rahmatullaahi,
The name change is sufficient.
Asalaam Mualakum Sheikh, I currently have my step father’s last name and I will soon in shaa Allah change it to my real father’slast name. I was legally adopted as a child by my step father. I am now 20 years old, do I have to be un-adopted in the courts or is the name change sufficient?