Here are the revised sentences using the required conjunctions and phrases:
1. In spite of his injured foot, he managed to walk to the post office.
(Although) - "Although his foot was injured, he managed to walk to the post office."
2. My friend decided to accept the job in spite of the salary being low.
(Although) - "Although the salary was low, my friend decided to accept the job."
3. They lost the match despite being the better team.
(Although) - "Although they were the better team, they lost the match."
4. Even though I had not eaten for 24 hours, I didn’t feel hungry.
(In spite of) - "In spite of not having eaten for 24 hours, I didn’t feel hungry."
5. Decide if the following statements are true or false.
For this sentence, it looks like you want to evaluate the statements that follow. If you have more context or specific statements to check, feel free to provide them, and I can help you determine if they are true or false!