The quarrel led to lawsuit.

--> The quarrel led to a lawsuit. 

It is the obvious fact that he stayed home all night.

--> The fact that he spent the entire night at home is evident.

No one can respond her temper.

--> No one can handle her temper. 

The retriever is one of the generous species.

--> The retriever is one of the most generous dog species. 

If you bother him, you have to handle the consequence.

--> Good and correct sentence~ ^^ 

Your that action frighten these cute puppies.

--> Your actions scare these adorable puppies.

This thrapist is very competent.

--> Correct sentence~ (*Be careful with the spelling of "therapist") 

I just heard, he broke up fiance.

--> I just heard that he broke up with his fiance. 

I met him at the staff dinner last month at first. 

--> I initially got to know him at the staff  dinner last month.

He was flabbergasted and lost for word.

--> He was flabbergasted and at a loss for words. 

I have been seeing her, she is a consistent person.

--> Good and correct sentence~ ^^ 

Apparently, he made a big mistake.

--> Good and correct sentence~ ^^ 

I can just feel she is extremely upset.

--> correct sentence~ ^^ 

I caught a pickpocket yesterday.

--> correct sentence~ ^^