I agree with Mark, all that matters is the ink. The printer is more than likely not 4 years old however. Epson only makes one rev. of media. I base this on my (2) 7600's, (1) 7800, (3) 9880's (only ran 1 but had 3 replacements shipped) and (1) 9900.
All of these units came with out of date media. The tech is the same. Epson keeps a very updated website and they expect the user to get the latest manual/drivers from it.
If you are concerned that the printer has been sitting around on a shelf, the fact that you have 2016 expire dated ink shows that it's not. it actually would cost a lot to open the box, and pull out everything, just to replace the ink carts, in both time and materials.
You can also call Epson with the serial number and they will tell you when the printer was made. They have to have this info for warranty records. I have had to do this with my 9880 problems.
If the printer works with no problems, I would not worry after you confirm you have a full 1 year warranty.
Paul