我的中文名字叫李从杰。，

我的英语名字英文名叫Jeremy。

It's more common to say 英文名（字）, and when you write sentences with the same subject in Chinese, you can cut off the subject and link two or more separated sentences together with a comma. In this way, the writing style appears more concise and close to native Chinese speakers'.

我来自美国。，

我现在住在华盛顿州的皮阿拉普。

我还是有三个养了三只狗。

Use 只 with 狗.

我爱我的狗，狗，它们太可爱了。

狗狗 sounds more cute than 狗, and since in this sentence, 狗 is the object, you need a pronoun（它们） to indicate it, different than the comment I made above "Tend to cut off subject when..."

我喜欢学不同的语言。，

我会说英语和瑞典语。，

我还是还会说一点汉语，但是我的中文不说得不太好。

我喜欢学中文，但是太难了学中文并不简单，哈哈。

没了。

This sentence is unnecessary, better to throw off.

谢谢啊，再见你的改正！

我还是有三个狗。

It's better to say 我还有三只狗。

我爱我的狗，太可爱了。

You can say 我爱我的狗，因为它们太可爱了。

我喜欢学语言。

You can also add some adjectives to describe 语言, e.g., 我喜欢学习不同的语言。 Another to say this is 学习语言是我最大的兴趣。

我还是会说一点汉语，但是我的中文不好。

I think it‘s better to omit “是” after “还”