When i turn my heater fan on does the air compressor come on and why would the car shake

Sounds like a couple of problems. First check the fan motor . Does it turn freely while off? Check for power to motor. Check to make sure the heater valve is closing when ac is on. Block one of the heater hoses to check.
Make sure the compressor is turning at higher rpms.

To clarify, the compressor and fan will run in defrost mode. The compressor and fan runs to dry out the air blowing onto the windshield.
Now if the condenser fan runs in "heat" you may have a problem with the fan relay or the main controller.

Try unplugging the air conditioner compressor under the hood. There should be a plug near to its pulley. With the compressor unplugged, try turning the fan switch to AC again & see if it still blows the fuse. If it does, there's a problem somewhere in the wiring between the switch and the compressor. If not, the problem is in the compressor's pulley clutch.

my acura tl fan turn on when i turn on air conditioning why

I had the same problem check the air compressor first for failure, if it is not a problem then change the fuel pump and catalytic converter. My air compressor was not failing but after changing the fuel pump and catalytic converter I was back to a normal car...

check ground for heater/a/c controls.

The Air conditioner compressor is seizing when the compressor clutch trys to engage. When you put on the defroster the air conditioner automatically comes on to take humidity out of air.

you probley need to replace the heater controls

Sounds like a bad heater control unit, or bad control module. You are bypassing the switch when you jump the relays, so usaully the switching mechanism is suspect.

is your heater set on defrost this will cause your engine fan to run because it turns on the compressor for air conditioner this helps to extract moisture from your warm air defrost  and the fan in the engine compartment helps keep it the engine cool from the extra load on the engine this is normal