OK.. So first issue... your parking light on the left side has a bad ground so instead of grounding out at the radiator support .. its grounding back through your turn signal light.
Im sure that light when your turn your headlights on the front parking left parking light will not be working.
Thats why the turn signal indicator is staying on, in the dash as its the easiest ground that the signal can find.
Check both grounds.. on both sides of the radiator support (clean them with very fine abrasive and make sure the radiator support is rust free where they bolt in....and pull the bulb out of the socket and make sure its good and clean out the socket...
That should fix the issue.. Let me know what happens and then we can address the tach, if thats still an issue.
D