I left out these sentences. I hope you can have a look at them,too.

Can you tell me if the modals are possible, Writeacher?

1) I’m sure he didn’t rob the bank.
He can't have robbed the bank
He couldn't have robbed the bank . (is this possible?)
2) I’m certain he stole the ring from Peter William’s bedroom.
He must have stolen a ring.
He will have stolen a ring (?)
3) It is possible that he will be invited to Peter’s wedding.
He may be invited to...
He could be invited to..
4) I’m very unsure if I will pass my driving test.
He might pass ...
5) He is likely to visit us tonight.
He should/ought to visit us tonight.

Here are the possible modals for each sentence:

1) I’m sure he didn’t rob the bank.
- He can't have robbed the bank.
- He couldn't have robbed the bank. (This is also possible, indicating a past impossibility.)

2) I’m certain he stole the ring from Peter William’s bedroom.
- He must have stolen a ring.
- He will have stolen a ring. (This is less common and indicates a future certainty, which might not fit the context of the sentence.)

3) It is possible that he will be invited to Peter’s wedding.
- He may be invited to...
- He could be invited to...

4) I’m very unsure if I will pass my driving test.
- He might pass...

5) He is likely to visit us tonight.
- He should/ought to visit us tonight. (These suggestions don't have the same meaning as "likely." Instead, they imply a sense of obligation or expectation. A more appropriate modal would be "will probably" or "is likely to" for this sentence.)