This time of year, unfortunately, it is not at all unusual to wait a week, sometimes longer. This is the busiest time of year and we get buried under posts. And, yes, unfortunately you did wait longer because you bumped your post - you would have been answered several days ago if you hadn't bumped your post. :(
We do not score the essays, no. If you would like to get an essay score, the organization that makes the test offers a service called GMAT Write. You will write an essay and their computer-software grading program will grade it (this is the same program used for the real test). There is a fee - you can find the details on mba.com.
Had to guess approx. 5 problems (got 2 of them right) and for around 3-4 problems I had no idea how to approach.
That's good! It means you were doing well enough to get offered questions that wree much too hard for you. The key: did you move on in an appropriate amount of time? This is where people lose ground - they waste time on these kinds of questions, then run out of time towards the end of the test, and their score drops.
I answered your question about the algorithm in response to your other thread. The short answer is: the % of hard questions is different for every person - it depends entirely on your individual performance on the test. There is no "set" percentage of a certain difficulty for everyone - that's part of what "adaptive" means. :)