Ur chinese is good, but I revised as below to be more natural.

(you could also correct my below english comments, ha)

Chinese Intro:

我叫福佩芝。
我是美国人。，我十九岁。

It is noticed that many beginners tend to make each sentence as one Sentence with a full stop, virtually it could be a clause which we use comma to seperate.

我的生日是十一月三十号。
我是大学生。，我学习汉语和日语。

In case two clauses have the same subject, typically we could omit the second one.

很高兴认识你~

Chinese Intro: