I haven't cleaned the ducts yet but I just had the outdoor AC unit and indoor coil replaced and HVAC guy said he didn't think the ducts is the problem.

Are the coils dirty?

Is it a new Complete system new furnace new coil new condenser ?

(Dirty Coils).We do address other house keeping issues in the lease.

After my HVAC technician got there he let me know the coils were frozen over. 

It sounds like you can add a coil w/condenser and zone the system.

Piece of aluminum trim coil, some construction adhesive, some screws and silicone for the exterior, then replacing the drywall inside.

Even Cook Co IL (a notoriously tough place to business) will forgive the fines if the new owner has a plan to fix the property and solve the problems which are usually public safety related. 

If they're not smooth top, they have the same drop pans and coil crap to deal with as any other range so not any easier to clean. 

It's ritzier than electric coil ranges(which look so bad they make you wanna barf, not a good thing when you're about to make dinner.)The induction ranges cook food faster, and I believe they're safer.