A bad coil can damage a converter. If the engine is misfiring, it will cause raw fuel to get into the converter and that can cause failure.
A bad catalytic converter can cause hard starts if it has become clogged. This produces excessive back pressure in the engine.
No, the catalytic converter is downstream from the EGR valve so it has no effect on it.
It could, yes.
A bad catalytic converter will cause a severely restricted exhaust system. You would notice a lack of power and performance from you vehicle and in cases of a completely blocked converter, the engine may not run.
Yes. If a coil is bad causing one or more cylinders to not fire, this allows raw unburned fuel to enter the catalytic converter, where it is burned. This can ruin a converter.
Yes it can.
It is one of many possibilities.
It is possible but highly unlikely.
Yes!
There's no possible way to pass inspection with a bad catalytic converter, if if you find out you have a bad catalytic converter during your inspection you have a chance after you after you have replaced the catalytic converter and the inspection no no charge/free!!
No a bad muffler shouldn't, but a clogged catalytic converter will.