My 2005 chrysler 300 touring, the blinkers do not turn off automatically when i make a turn

Check out the link. Also click on the images tab.

https://www.google.com/search?q=2005+chrysler+300+replace+speedometer+speed+sensor

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Question edited to add maker.

Chrysler 300 Transmission Fluid Capacity and ... - Engineswork

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2005 2006 2007 2008 2009 2010 Chrysler 300 Transmission Fluid Capacity ; 4-speed 42RLE automatic transmission, Total Fill 8.3 liters (8.8 quarts) ; 5-speed NAG1 ...

Assuming you used the correct replacements, probably a wiring problem in the column or a connector problem. Carefully check the connections at the bottom of the column.

Ricky there is no dip stick for your transmission, to be checked at the dealer. Hog wash, but it is true, they want you to go into dealer and hand over your hard earned cash. The 3rd link below is where you can order a dipstick for your application if you choose to or try a local parts supplier.
Check the attached links,instruction and guides, Good luck
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Transmission Fluid Level Check Chrysler 300 2005 2010 2005 Chrysler 300 5...

http://repairpal.com/check-the-transmission-293

http://www.jcwhitney.com/2006-2011-chrysler-300/dorman-automatic-transmission-dipstick/p3090059d347y2006-2011j1.jcwx?year=2010&filterid=g152

Most likely a broken wire to the wheel sensors.

Who put battery in? Take it back. If you did, double check terminal positions It sounds like it's backward. Red is + or positive.

Replace your turn signal switch.

I was told it was my relay switch. I'm in the process of getting it replaced.

switch is worn out prematurely

a new clicker under steering wheel