It is a FACT because it is a true statement.
It is false that academic arguments should be written in first-person perspective. Nothing should be written in first-person perspective when it comes to academic writing.
Answer:
1. could
2. should
3. can
4. could
5. might
6. can
7. must
8. manage
9. might
10. could
11. should
12. should
13. might
14. must / ought to
These are only suggested others are suitable for some too, I just think these make more sense.
Hope this helps :)