THEME:   ITEM found in phrases   
GOOD ONES:     With {AGENDA} and {theme}   HIDDEN [thus ITEM which is HIDDEN in the phrases is part of the AGENDA]    
Start to push?   PEE   
Flat container   SHOEBOX [flats are shoes, or they were]   
Where age goes before beauty, briefly   OED [alphabetically, that is, in the Oxford]      
BTW:   "Absolutely!"   YESICAN [if this is a worthy clue, then virtually any word or phase would do: "of course"; "you can't"; "likely" …]      
ATOI is never used in our language, but "A to I" might be.         
RATING:  
 
  
   Three grins = Loved it; Two grins = Enjoyed it; One grin = A bit bland for my taste; One teardrop = Not much fun