Chrysler 300 Limited 05' Stalls or Drags after Getting Gas?

I have a 2005 Chrysler 300 Limited with a 3.5L V6 engine and everytime I get gas, shortly after, it either stalls or drags. I usually use 91 octane, but after the last time it happened, I finally made the connection that it is when I get gas. Am I using the wrong fuel octane grade, and if so, will this harm my car?
Also note that I already checked fluid levels and they are all fine.
 
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