Like Doug and ard pointed out... I found out just how quickly a failing battery can make things wonky. The intermittent not starting could be a direct result of that. Once you pull your battery and give it a fill charge and test then re-install if it checks out you'll know it's not that.
And as ard said just spend the $200 and get an AGM battery that's most likely the battery you have in there. I also have a 2010 and just replaced my battery 2 weeks ago. Decided to buy a scantool that would register the battery. But it also doubles as a code reader and resets the CBS like oil, brakes, and filters. Super handy since I'll be DIY on most everything on this car. Amazon has them for $88.50. AutoPHIX is the brand. They look identical to Foxwell, however those are little more but at the same time they cost more. It's all relative.