A novel follows.....
Has the HVAC company performed a thermal air balance on every supply register on the whole system, to find out each registers CFM supply output ? Until they know the CFM output on each supply register, they are rolling dice in getting the proper air flow balance. I am not seeing any return air system(s) on the second floor. Do they exist or not ?...
The whole system if drawn in these posts correctly, is problematic because of the way the return air system is set up. I am only seeing "above ceiling plenum return" egg crate return ceiling grills... in just two rooms..... So the furnace is trying to blow "air in to a sealed box" whenever it has a supply register in a room that has no way for that supply air ...to be pulled back in to the return air systems.
These two "return egg crated" rooms have the potential of the room's door's being closed, so the possibility exists that at any time.... the rooms doors are closed, the WHOLE return air of the system will just be furnished from these room's egg crate RA grills...
The
supply air total CFM discharge output is in direct relationship to the
amount of return air the furnace blower can pull in. The blower cannot blow more air out of the supply plenum, than it is receiving in its return air plenum.
( this is why filters need to stay in good order) ...
We know that warm air rises. So yes, every heating season it may help throttling down the registers on the second floor to force more heated air to the lower floor. But then, on unseasonably warm days and when its time to change from the heat to the cooling season...someone has to play the register adjusting game. If duct booster fans are used, then when they fail, someone has to hunt them down...because guaranteed the original installer of the fan will not be around when they go bad. It is always best to make the syatem operate as it should be designed to, without gadgets, add ons and such.. .
Just my opinion ...but whomever owns this facility would be well justified in hiring the services of a mechanical engineer to do a thorough survey on the HVAC design of the building. It appears to me at least, the HVAC "parts" cannon is now being fired in the building. ....
As mentioned above, many offices have "sick" air. Not meaning to take away from any HVAC contractors expertise, but I have seen way too many prominently residential grade HVAC installers, put in some random commercial jobs. They are in the same field, but the two installation fields differ a lot at times . ...
Because the commercial building type of construction, floor design, and occupant use... all make the duct/air handling capabilities of commercial buildings .....require different designs of those that work in residential buildings. Commercial HVAC is designed to be suited for the building's use, so the system will be efficient,comfortable and easily maintained to keep employees and heat producing office equipment running well.
All JMO