my name is

私の名前は和マディヂソン スタッキーです。

*After the subject, we use the particle は and it's pronounced わ.

*between the first and last name, it need to be put "space" or "・", so your name is written: 

マディソン  スタッキー or マディソン・スタッキー in Japanese. (ディ is typed "dhi")

Good job! Please enjoy learning. I hope this helps you.