As a statistics student, I feel the need to point out several flaws with this whole OMG odds thing. Your situations are so specific that of COURSE the odds are going to be ridiculous. I could get dealt 10 random hands - ie: 9T, 38, etc. and the odds of those hands occurring, irregardless of order would still be astronomical.
And just so you know, the # of combinations aren't THAT different.
# of possibilities for 2 different cards = 16
# of possibilities for a pocket pair = 6
But I mean, you need to look at it this way. The odds of getting dealt JJ or higher is approximately 1/55. The odds of getting 4 hands like that in a span of 5 is 1/55 * 1/55 * 1/55 * 1/55 * 54/55 = 0.000000107
*EDITED TO MAKE THIS MORE CORRECT*
This probability is part of what's called a binomial distribution. To get the correct estimate for any order, you need to multiply this number by '5 choose 4' (5c4), = 5
This gives you roughly a probability of 1 in 1869158.