Here are the correct forms of the verbs in brackets:

1. Be quiet! You **are talking** so loudly.
2. Linda (not stay) **is not staying** at home at the moment.
3. Now she (lie) **is lying** on the beach and enjoys a piece of music.
4. Be careful! The car (go) **is going** so fast.
5. Listen! Someone (cry) **is crying** in the next room.
6. Your brother (read) **is reading** a book at the moment?
7. My parents (cook) **are cooking** dinner in the kitchen now.
8. At the present, they (travel) **are traveling** to Washington.

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For part II, identifying the mistakes:

1. My mom don’t usually go to work on Saturday. (Correct: My mom **doesn't** usually go to work on Saturday.)
2. I **usually swim** at the weekend. (The word order should be "I usually swim at the weekend.")
3. I and Lan ride a bike to school every day. (Correct: **Lan and I** ride a bike to school every day.)
4. Lan (bikes) **rides**. (Correct: "Lan rides a bike to school.")
5. John (are cleaning) **is cleaning** the room at the moment. (Correct: "John **is cleaning** the room at the moment.")