1a. Children don’t like to be commanded. (Grammatically correct) 1b. Children don't like to be told what to do. (Correct/More natural sounding) 2. I saw his father get out of the car. (Correct) 3. She likes to be called Sara. (Correct) 4a. She likes to be paid attention to.(Wrong) 4b. She likes people paying her attention. (Correct) 4c. She likes when people pay attention to her. (Correct) 4d. She likes when attention is paid to her. (Correct)

The middle 2 sentences are fine. In English it is more natural to say: Children don't like being told what to do. She likes people paying her attention.

I think the last one should be 'She likes people paying attention to her'