Yaris problems

[heavenswaitin]

I have a 2010 sedan yaris. 20060 miles on it, bought new. Since I have had it I have had trouble! Please bear with me I am in no way any type of mechanic!

First problem: 3 days after I got it I started to smell like something was burning inside the dash, I have taken it in to the dealer now 9 times for this issue alone. They can not find any problems and no codes show up.

Second problem: 9,000 aprox miles and I was at the grocery store , when I came out my car would crank but not start, since then it does it once or twice a week. I have been stuck 4 times now at 3 am when trying to leave work and it would not start, had to wait 10 minutes for it to start. Took it back to dealer all 4 times this happened and they say it did not code and they cant get it to do it for them.

Problem 3: 2 months ago I told them I was noticing that the stereo looked like it was shorting out, again there was no codes and they couldn't get it to repeat the problem. At this point I am tired of this car so I started video taping every time I try to start it and the stereo. Last week I got the stereo on video , I took it in and the first thing that was said was they still cant see what the problem is , so lil ole me whipped out the video cam and showed them. They said I had an Internal short throughout my car, they replaced stereo yesterday.
My question is will this short be the cause of it not starting also? Like I said I am in no way a mechanic and I have no clue about fixing a car so please help with any ideas as to my problems. Thanks!