This apology is a step in the right direction. However, you do have a long ways to go yet.
The apology is there, but your future behaviour will determine whether it is sincere or not. You should pay attention to this fact while making amends.
It seems you have done this kind of thing before. This type of pretense is just not right. You should examine the real reasons why you need to deceive other people so that you can feel more important.