I think I am a hard -working woman.

Note that "Jack" is a male name. Did you mean to say "man", is this sentence not supposed to refer to you, or are you a woman who just happens to like the name "Jack"?

There are some new words in unit13, I’d like to practice.

In some languages, a comma MUST be inserted here, but in English a comma CANNOT be inserted here.

Note that you can also insert "that", but even then, there's no comma:

There are some new words in unit13 that I’d like to practice.

1, t. There is a restaurant downstairs from my house.

These are sentences (even though they're in a list), so the first word of each should be capitalized. Also note that each number should be followed by a period, not a comma.

My colleague said the dishes were very delicious.

"Delicious" is already a strong adjective, and such adjectives sound better without "very". However, you could use "quite".

I wanted to go there and havegive them a try.

"Have a try" usually refers to an action. "Give them a try" works better here.

2, t. There are too many people in the lift, let u. Let's walk upstairs.

"Let's" is almost always used instead of "let us", except in a formal context. This is an informal context.

WellFine, but where are the stairs?

These days, if you want to say "I'm in agreement", "fine" is better than "well" (which would feel more confrontational here).

It is behindThey are behind us. OR They are in the back.

"Stairs" is a plural word.

3,. The children all stood up when the teacher entered the class.

If you're talking about all the children in the class, "the" should be used.

4, y. You should stand up when you see the chairmanpremier of China.

In English, "chairman" is generally not used for the leader of a country.

As an alternative to "premier", you could say "prime minister".

5, p. Please don’t forget to turn off the light when you go out.

7, d. Does everybody watch TV and buy things online?