Sure! Here are the appropriate phrases for each sentence:

1. Don’t worry, there’s no rush. We **don’t have to** get there early.
2. My mother is terribly tired and she **has to** rest after her long journey.
3. The children are so glad their father **doesn’t have to** work on such a snowy day.
4. Me **have to** see a dentist today. She’s booked an appointment at 4 o’clock.

Feel free to ask if you need further clarification!