Here are the corrected sentences along with an explanation for each correction:

1. Sarah doesn’t come to the party if you don’t invite her. **(Correct)**
- This sentence is grammatically correct. No changes are needed.

2. If we order the new TV set tomorrow, we’ll get it on Friday.
- Correction: **Remove "will": "If we order the new TV set tomorrow, we’ll get it on Friday."**
- Explanation: In the "if" clause of conditional sentences, the present simple is used instead of "will."

3. Nobody will like you if you change your behavior.
- Correction: **Change "won’t" to "change": "Nobody will like you if you change your behavior."**
- Explanation: The "if" clause should use the present tense.

4. You won’t be able to use grammar correctly unless you understand it.
- Correction: **Change "don’t" to "understand": "You won’t be able to use grammar correctly unless you understand it."**
- Explanation: "Unless" implies that the action must happen, so it should use the present tense.

5. If you don’t make a mess in my bedroom, you can share it with me.
- Correction: **Change "won’t" to "don’t": "If you don’t make a mess in my bedroom, you can share it with me."**
- Explanation: The "if" clause should use the present tense.

6. You’ll get a discount if you have their loyalty card.
- Correction: **Remove "will": "You’ll get a discount if you have their loyalty card."**
- Explanation: The "if" clause should use the present simple.

7. If they win the match, will they be in the finals?
- Correction: **Remove "will": "If they win the match, will they be in the finals?"**
- Explanation: In the "if" clause, use the present simple tense.

8. I will get rid of my old car if you don’t need it.
- Correction: **Change "get" to "will get": "I will get rid of my old car if you don’t need it."**
- Explanation: The sentence needs to express a future intention.

9. We’ll take some sandwiches with us in case we are hungry.
- Correction: **Change "will" to "are": "We’ll take some sandwiches with us in case we are hungry."**
- Explanation: "In case" is typically followed by the present simple.

10. He’ll speak to us if we don’t mention his name in the conversation.
- Correction: **Change "won’t" to "don’t": "He’ll speak to us if we don’t mention his name in the conversation."**
- Explanation: The "if" clause should use the present tense.

Here’s the complete corrected list:

1. Sarah doesn’t come to the party if you don’t invite her. (Correct)
2. If we order the new TV set tomorrow, we’ll get it on Friday.
3. Nobody will like you if you change your behavior.
4. You won’t be able to use grammar correctly unless you understand it.
5. If you don’t make a mess in my bedroom, you can share it with me.
6. You’ll get a discount if you have their loyalty card.
7. If they win the match, will they be in the finals?
8. I will get rid of my old car if you don’t need it.
9. We’ll take some sandwiches with us in case we are hungry.
10. He’ll speak to us if we don’t mention his name in the conversation.