please help : car vibrates heavily

To tell the age of tires is fairly easy. On the sidewall you will see DOT with a few numbers following it and then what looks like a plate cast into the rubber with 4 numbers in it. Example if you see 4013, this means the tire was made the 40th week of 2013. 0914 would mean the 9th week of 2014. If it is three digits this means it was made before 2000! Junk it!