The engine running hot, and the HVAC blower not working are two separate issues.....one has nothing to do with the other.
First off, you need to determine if the engine is actually running that hot. The gauges in these cars are not the most accurate to start with, and the temp senders are notoriously flaky.
IF the engine is
actually getting that hot that quickly, you have a problem with coolant circulation, whether it is the thermostat(which you state is new), a water pump problem, or a clogged radiator. First try to determine if the gauge is correct. Use an infrared thermometer and measure the temp on the intake manifold where the thermostat is, and the input/output hoses on the radiator. Let's find out for sure what the actual engine temp is first, and we can go from there on how to diagnose what is causing it.
As far as the blower motor, it is located on the passenger side, under the hood, waaaaay up inside the fender on the firewall. If it is not blowing at all, there are several things that can keep it from working. However...if you have already put 134 freon in the system,
at a bare minimum you will need to discharge it, flush the system, evacuate, then put 134 friendly oil in the system, and finish with a new charge of 134.
The blower motor has a resistor set-up in the A/C plenum under the hood that controls the low/low-med/med-high speeds. The high speed(only) is run thru a relay, also mounted on the A/C plenum. You also have the switch in the console, and a fuse to power the whole shebang. Start by testing the fuses.
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Joel Adams
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"Money can't buy happiness -- but somehow it's more comforting to cry in a CORVETTE than in a Kia"