Bring ‘Em to Justice and World’s Greatest Detective can be done over multiple playthroughs?

[djb5f]

Does your progress carry over or would you need to do each within one single playthrough? Neither guide addresses speaks to this question that I can tell but they are not marked as missable.

 

I started my first playthrough on Officer and noticed I already killed or missed some who had warrants and missed a piece of evidence.  
 

Can I clean up on episode select on Cadet difficulty any that I miss on my Officer and Hardline difficulty runs?  

[TehUberCheezCatz]

the evidence definitely carries over, since thats what i did when i missed one in the second mission, so the warrents probably do too