Hi there
I had a tonsilectomy a couple of years ago, and while the intital two weeks were agony,it took a good couple of months before everything felt normal. You've had an open wound in your throat that is taking its time to heal, with "scabs" sloughing off. Scar tissue is developing, and it can feel tight and sore, and dry and uncomfortable, particularly in the mornings as you tend to breathe differently for a while.
I remember it took me about 3 months to be able to sneeze normally!
Get your doctor to check that everything is healing normally, but really don't be worried, it's a horrible surgery to have as an adult and does take time to get back to normal.
Take care!
Kirsty