The blower motor shares ground 100 with the flasher, which could cause the lights not to flash. Ground 100 is on the inner fender between the battery and the starter
solenoid. Make sure the bolt holding the ground wires there is tight, and the terrminals should be making good clean metal to metal contact.
Other than that, the two problems are separate. Do the turn signals not light up at all, or just fail to flash? Does the blower work on high, or not at all. The first thing to do is check the blower relay. Located in the power distribution box underhood, see if the relay is clicking when the key is turned on and off. If the relay is suspected, swap in a similar relay and see if the blower works. From there, you would need to check for a loss of power at the blower motor connector using a test light with the key on in the high blower setting, it should light up at full brightness. If only high blower works, the speed control resistor block is probably bad (unless you have automatic temperature control, then it is an electronic speed controller, not a resistor block).
For the turn signals, you can check to see if power is getting to the turn signal switch. The Light Blue wire at the turn signal switch provides a pulsing 12 volts that is supplied by the flasher. The flasher could be bad.
Before diving too far into the testing, use the test light to check for power at the fuses with the key on. Let me know if you have any questions, I can guide you through the steps as needed.