2/3rds of that cost is labor. 3 ton multi-zone heatpump kit is $2500-3500, another $250-500 for an electrician to pull #6s and a ground to a 60A disconnect outside and sealtite whip into the heatpump, and 60-80 hrs at $125/hr to install the heat pump and air handlers, including all the exterior wall penetrations and sealing, running glycol lines, installing thermostats, wiring air handlers, etc.
Yeah single room. There's dual room splits that run a bigger compressor with two heads too. They are usually way cheaper than bigger units even when you account how much juice they eat up but you should do your own math because it depends on the house and the setup.
Also if you want to control every single room including bathrooms and walk in closets it gets tricky.