Agreed--this was a great puzzle.
For 35D, the definition is "knightly task" , and I got to it by taking away a two letter word meaning "about" from the front of a seven letter word meaning "ask". Sounds like you already know the first letter from 34A, so your guess is probably correct .
Regarding the confusion about the various options for treating the answers before entry, it is all there in demeter's beautifully clear post ( number 61 ) on this thread.