Found some peculiarities in a 2002 P Mississippi State Quarter. The OB appears to a MAD, and on the RV, the 'e' in 'The' and "State" appear different as well. The photo are the best I can do. Sorry for the quality.
You might check out this site to see what you can find on the States quarters. http://www.doubleddie.com/179401.html The hub doubling is common on one area of the coin. The center parts of the designs. So look at these images to see where you should be looking for doubled dies. You will be shocked that you spent so much time looking on the wrong areas of the coins. So look at it now and see where to look. (forget the rest outside of these areas) If you don't see where to look, you maybe spinning your wheels trying to find something that doesn't exist.
You may see some variance on the devices , thicker, thinner, broken up , distorted.... it is normal and it is usually due to the die aging and wearing out. I think your question has already been reasonably answered and you do not have anything outside of normal.
As Chase mentioned, the difference in the E's may be due to die wear. Die wear shows more prominently the closer to the rim you look. The E in STATE is closer to the rim. Also, die wear flows toward the rim at its closest point, so the E in THE will be pulled in a more upward dirwction by die flow and the E in STATE will move more horizontally. That may result in slight appearance differences between the two.
However, from what I've seen the two E's look slightly different by design, so some die wear may just have emphasized what was already there.