Three cranks then nothing is a bad SKREEM, a bad key fob or the black ring round the key is unplugged from the SKREEM.

The blower is powered by battery thru the 'blower resistor' and I'd suspect the resister is bad, about $30 online and you can change it in 20 minutes, they essentially plug in.

When you turn the key on, wait 30 seconds, does the engine fan ramp up to high speed? IF so, that is usually the RCM, the output of the Engine control relay not making it to the ECM, the RCM is suspect then.

If the fan does NOT come up to full speed, then I'd turn my attention back to the SKREEM.
But it sounds like a SKREEN issue anyway. Given all these electrical complaints, I'd be wondering about:

age and condition of battery
condition of battery cables and terminals
condition of the ground jumper from engine block to chassis

What I am saying is, replacing the SKREEM will probably get the car running, but you better be looking at why all these electrical symptoms happened in the first place.