Especially now, I am seeing a lot of people who bought during or right after the COVID pandemic and are in situations where they simply cannot sell their homes for any profit (many of them bought as new construction).

Generally there are multiple units for each "zone" if you will when I've seen them installed.Regarding your problem at hand, I personally would simply adjust your plan to move and make your initial plan to get the current issues resolved, while costly now, in the long run holding onto the unit will likely pay off. 

We never hired a manager because it simply would have taken too much out of our profits.

My goal of refinancing was simply lowering our monthly spending to reallocate towards future investments.

I think the folks that pay for these programs have the wherewithal to simply cut a check and its no big expense to them compared to what they stand to get out of it. 

We appreciate your support and understanding during this challenging time.A medical note attached simply says "1 year leave from school for medical reasons"Please advise on what is the best recourse in handling a situation like this?

What I don’t understand, and help me on this, is why someone would simply want to purchase the Mortgage/DOT without the note. 

Simply fire them and hire someone else.

I thought this was simply the right thing to do and did not give a second thought to undergoing this process until after the repairs were completed.

However, I typically like to make a distinction between my parents assets and my own, simply because doing so provides me more satisfaction when I succeed.