Yes. They are all OK, though premonition is not the right word; 'suspicion' would be better.
Student or Learner
I am wondering if it is possible to omit "that" in the following sentences. Please would you correct my mistakes.
1. He had a strong premonition his wife was cheating on him.
2. John thought the novel he was reading was boring.
3. The doctor told him he had to change his habits if he wanted to live long.