Hooked up the block heater to the power outlet with the other end which goes into the engine block disconnected. Used my voltmeter and checked voltage and it seemed like power was flowing through. So now, either my coil's terminals are corroded or the coil is dead. I'll report back as I make progress in troubleshooting this issue. Thanks all for your support!!

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1999 Mercedes-Benz S600, 103K miles - garage queen
1988 Mercedes-Benz 560SEL, 89K miles - daily driver
2007 Hyundai Sonata Limited, 31K - daily driver