Jordan said that she has to get up at five thirty every morning.
→ Jordan said that she had to get up at five thirty every morning. (✓: sử dụng thì quá khứ "had to" để phù hợp với câu trích dẫn trong quá khứ.)

Before he got his results, Philip said that he may have to retake some exams, but now he knows he doesn't have to.
→ Before he got his results, Philip said that he might have to retake some exams, but now he knows he doesn't have to. (✓: sử dụng "might" để thể hiện khả năng trong quá khứ.)

Did Mrs Morgan say why she'd called?
→ Did Mrs Morgan say why she had called? (✓: sử dụng thì quá khứ hoàn thành "had called" để phù hợp với mốc thời gian trong quá khứ.)

Paul said he should be here tomorrow night at about nine.
→ Paul said he would be here tomorrow night at about nine. (✓: sử dụng "would" để thể hiện dự đoán trong quá khứ.)

Dan said he must drive to Liverpool that night, but he didn't go in the end.
→ Dan said he had to drive to Liverpool that night, but he didn't go in the end. (✓: sử dụng "had to" để phù hợp với thì quá khứ.)