Jeep Commander Exterior Light

I Decided To Put Fog Lights Onto My Vehicle That Did Not Come With Factory It Has The Extension For Fog Lights. So, I Plugged It In Then...

When I Used My Turn Signal It Shorts Out My Radio And Causes My Check Engine Light To Come On? What's The Problem.

I Was Just Wondering Roughly How Much It Would Cost To Change Both Left Blinker Cause The Front On Is Out The Back Is Blinking Rapidly. So...