Insufficient air flow into your engine is the first thing that comes to my mind, also a dirty mass air flow sensor. Change your filter if dirty and clean your MAF with electrical cleaner.
Check the catlytic converter for blockage
It might be the catalytic converter has overheated and had the honeycomb inside melt together.
Loss of power when accelerating can be caused by a number of things. A leak in the fuel line or even a bad alternator can cause this.
A bad oxygen sensor can cause power loss, reduced fuel economy and damage to your catalytic converter.
Basic answer,,,no.
Yes
Yes, the ignition on a trailblazer can cause head lights to work improperly.
What would cause the engine not to restart when hot Chevy Trailblazer 2007?
dead battery
Power loss and downshifting could be a fouled plug. There may also be a problem with the oxygen censor this would explain the loss of power.
Yes, fouled spark plugs can cause engine shaking, and loss or power. I'm not sure about knocking but I'd guess that too.
Yes, it is possible. It will also cause severe loss of power.