I think you might be googling the wrong terms and of course google is no replacement for local knowledge/help….The “notice to quit” requirement is 10 days.

We had one where the city had the roof replaced on a vacant row house.

On all my section 8 inspection I have my contractor walk with the case worker fixing, replacing or repairing anything they might have a concern about right there as the inspection is going on.

There was heavy black mold throughout the house and we ended up gutting down to the studs, replacing all drywall, all electric, new roof, most of plumbing, new kitchen, new bath and all new floor coverings. 

Keep patching and tarring until you can't - then replace. 

Are they using an SD Replacement Program of some type?

Likely you can get those plans with a records request from the municipality where this property is located.You'll need to get surveyor, architect, and civil engineer on board earlier than later. 

I have 6 properties coming up for Roof replacement thru insurance.

If you can spend more, you could use composite lumber or engineered lumber which can be more resistant

However, given a lax board and the community's preference to avoid assessments and projects I believe no major repair or replacement work has been done since the building was built in the mid 80's (i.e. roof, plumbing etc.,).