Expect a site visit before any number is final. The contractor should measure rooms, look at windows and insulation, check the panel, and walk the outside of the house for unit locations, then run a heat loss calculation. In a Rockland house that's been added onto, the addition often needs its own head or zone.
Permits come from the Building Department, which handles wiring through its wiring inspector and accepts permit applications online. If the job removes an oil burner or a fuel oil tank, that's a separate Rockland Fire Department permit. The Building Department doesn't inspect on Fridays, so final sign-off is scheduled earlier in the week.
Install day usually means mounting the outdoor unit, running the line set, setting indoor units or an air handler, and wiring the circuit. Before the contractor leaves, ask for a walkthrough of the controls and the filter schedule, and for the rebate paperwork you need to keep.