The resistors have to drop a lot of current to make things work properly, in the normal incandescent bulbs that is done by the bulbs filament as it uses that resistance to produce light and a lot of heat. The LED's don't need the high current but because of that low current the BCM thinks the bulb has failed as an open circuit and you get the rapid blinking.
Your description sounds like the resistors are the proper value, but the plastic cannot handle that heat close to it. That is common as the heat is normally out in the bulb itself which has a lot of air around it and keeps the socket and connectors away from the heat.
It also is why this is a common problem when adding LED's into a conventional system. The resistors are normally spliced into the wiring in a place where they can get air around them and away from other wires or parts. If I was doing this I would probably opt for parts that are designed as power resistors like those in the image. Something that is the correct resistance but much higher power rating than what is commonly used. The higher rating means they don't get as hot and the case acts to remove the heat generated. So if the resistors you used were say a 5 ohm 2 watt unit, I would find 5 ohm 10 or 20 watt units and use those. They cost more money but they wouldn't cause the problem you have.
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Friday, August 7th, 2020 AT 9:03 AM