Your home air conditions makes gargling sounds because there is air that is trapped in the line. It means that you will need to have refrigerant added.
Somthing to do with the AC.
The AC system will vibrate, and pressure throughout the system will be extremely high.
Loose, or worn out.
Yes
You may need to adjust your belts, check the ac belt first.
Temperature control in dash by heater core is broke.
That noise is completely normal as long it lasts for a few seconds, and it's caused for AC system in while it reaches its normal working pressure
The clutch assemble is shot...
Well if it makes noise maybe the manufacturer messed up while putting the part on which meens you should have it replaced or fixed!
Broken fins in the fan or a bad compressor. Or leaves and sticks stuck touching your fan for the ac side (assuming you have a separate fan for ac which you might not).
Every accessory that is turned by that belt can make some sort of noise...the alternator and water pump berrings wear out, causing a dull grinding noise. The power stearing pump can make a whirring noise, and the AC compressor makes a rattling noise when the AC system has had no refriderant in it for some time. Very UNLIKELY that its the balencer on the crankshaft causing your trouble
Maybe a bearing in the compressor