Trouble with HC-SR04

I can hear it clicking but I'm beginning to think it may be defective.

Quite a bad sign. I cannot hear my (working) sensor and that's fine because the frequency is 40kHz, more than double of what a human ear is able to detect.

delayMicroseconds(1000);

This means you're unable to detect anything below 15cm. 200us should be enough for the sensor to send out the signal.