Using different words to say the same thing

1. To mistake somebody/something for somebody/something

2. To confuse somebody/something with somebody/something

3. To mix somebody/something with somebody/something

Could you please tell me if I can paraphrase the sentences "1" and "2" as shown below?

1. When hay fever first occurs, it is often mistaken for a summer cold.

1a. When hay fever first occurs, it is often confused with a summer cold.

1b. When hay fever first occurs, it is often mixed up with a summer cold.

2. People often mistake me for my brother.

2a. People often confuse me with my brother.

2c. People often mix me up with my brother.

Thank you!