verb 'suggest'

[Unregistered]

Are all the three sentences correct or only the first one?

1. I suggested that he (should) do it.
2. I suggested that he ought to do it.
3. I suggested that he could do it.

 

[louhevly]

Are all the three sentences correct or only the first one?

1. I suggested that he (should) do it.
2. I suggested that he ought to do it.
3. I suggested that he could do it.

All are correct.