Keyboard and trackpad unresponsive on newest MBP retina (late 2013)

Question

So I literally ordered the late 2013 model the day it was released (October 23nd) because I had been waiting for it forever.  I got it October 25th.  That SAME DAY I used it, it started having problems.  While I could be scrolling on tumblr or Facebook, the keyboard and trackpad would randomly just stop responding.  It wouldn't move at ALL but the computer still works fine.  One time I was watching Pirates of the Caribbean and the keyboard and trackpad froze just the same without me touching anything.  I had to hold the power button down for 10 secs (the only button that worked) to shut off the computer which also LOST everything I had open.  This has been happening EVERY SINGLE DAY since I used it except one.  I called apple support and they couldn't figure out what's wrong either because it can't be anything I installed since I've only had it for a day when it first happened and all I had was google chrome installed.
The tech guy from Apple support told me to do the force quit shortcut on the keyboard if it happened again (which it did, as always) and it obviously didn't work because the keyboard was just not responding to begin with.
This kind of stuff started happening the FIRST day I got my computer four days ago, and it's been happening almost every single day; I don't think the problem is any programs I installed.  I'm thinking I got a faulty computer, which would be very unfortunate because final exams are coming up and it would be very inconvenient for me to send it back and wait for another one.  I also just put decals on it and that would go to waste as well.....
I waitressed every single night of the week for a month (and counting) in order to buy this for school and I was quite excited to have gotten it...but already problems are coming up with the computer that I spent so much money on.....this is really disappointing.  What should I do? The apple support people aren't fixing the problem and there's no apple store near me and it would suck to have to send it back to wait for another because I have exams right now....and also the money I spent on the decal. 

Answer 1

Model Name:          MacBook Pro
  Model Identifier:          MacBookPro11,3
  Processor Name:          Intel Core i7
  Processor Speed:          2.6 GHz
  Number of Processors:          1
  Total Number of Cores:          4
  L2 Cache (per Core):          256 KB
  L3 Cache:          6 MB
  Memory:          16 GB
  Boot ROM Version:          MBP112.0138.B02
  SMC Version (system):          2.19f3