I give #4 a big, fat NO and I'll tell you why. The time for assessment is past. That's Step #1 of the nursing process. You are already in Step #4, Implementation of the Plan of Care, so the interventions should have already been put in place which means that all assessments should have been done. Also, from a practical standpoint, a hospital nurse just doesn't have the time or resources to be going to the patient's home to be making an assessment of the patient's environment. The home health nurse will, however. That will be their first order of business as part of their nursing care process and assessment.
Since the focus of the question seems to be that the patient is being discharged with community health nursing follow-up then the most logical choice to me would seem to be choice #3, coordinating various agency services. Nowhere in the stem of the question does it mention anything about having any disease or problems with sanitation. The answer choices sucked you into that. And, what emotional support? Most patients I know are thrilled to death to get out of the joint, er, the hospital. However, if somebody flubs up and forgets to call the home health agencies to follow-up--uh oh!

The patient will be sitting at home waiting for a knock on her door and will then be in need of emotional support when no one shows up to help her out!
I believe your thinking is wrong and your husband is leaning the wrong way. Catch him before he falls over.

Of course, I could be wrong. . .but I don't think so.