Can't you move to another part of the country were you can be safe? Getting a TRV to Canada from Nigeria would take a lot which I am not sure you would be able to handle in terms of supporting documents.
You don't have to bother yourself if it was received or not, as long as it was sent to cic you are sure to be issued a work permit as long as your medical result doesn't come out with any negative result.
You should take the eligibility test again and click on the required answers but make sure you have your medical done first because you would need proof that you have taken it to apply for an open work permit.
You can chose to settle for either of the marriage options both are standard but he needs withdraw his refugee claim since it's not been heard and his lawyer should follow through for him.
If you apply for a work permit online it takes 4weeks and 12 weeks for paper application and the whole refugee process takes more or less than 3months depending on your Board member.