Crossword Puzzle Assign anew

Clue: Assign anew

Assign to new categories (REGRADE with 7 letters)
Assigned scores (GRADED with 6 letters)
Five-paragraph assignment, perhaps (ESSAY with 5 letters)
Base assignment ... or an apt title for this puzzle (KITCHENDUTY with 11 letters)
Assign a PG-13, say (RATE with 4 letters)
One who assigns an identifying word (NAMER with 5 letters)
Ratify anew (REPASS with 6 letters)
Twisted anew (REBENT with 6 letters)
Conceal anew (REVEIL with 6 letters)
Assignment (e.g. CHORE with 5 letters)