1. Lina, the _______ album of the new music band in our city, will be uploaded on the website next week. I'm looking forward to listening to it.  

• C. debut is the most suitable answer here. A "debut" album is the first album released by a musician or band.

2. Nowadays, people _______ social networks with more and more caution.

• A. are using is the correct answer. The present continuous tense is used to describe ongoing actions in the present.

3. My family really loves Japanese food, _______ we order it twice a week.

• A. so is the correct conjunction to show a cause-and-effect relationship.

4. Parents should teach children to put the _______ in the bins in daily lives.

• A. rubbish is the correct word for waste material that needs to be disposed of.

5. The boss allows _______ home.

• D. us to stay is the correct answer. The verb "allow" takes the infinitive form of another verb (to stay) when followed by a pronoun or noun.