'Wanted': Just a short description of the sort of thing you're looking for.
'Story' : Just a slight elaboration on that with a few more details.
'Depth': The level of detail you yourself have come up with for the potential relation:
+ Detailed is basically, like, you have the entire backstory planned out and how what they'd think of each other and everything
+ Vague would mean you have a few ideas on some events that may have occurred between them, but most of the details are going to be discussed between you and the other person
+ Formless would mean that you only know what you want their relation to be like, but all the details would be discussed.
'Relationship': How the characters currently feel about each other.
+Positive. Which I'm pretty sure means they have a positive relationship
+ Negative pretty goes the same way as positive... Except, you know. The opposite.
+ UTP means 'Up to Player', which is used in situations where maybe the relation is dependent on something your character did, so the other character's reaction might differ, or if the two characters might differ in opinion
'Availability': How many people, max, you'd be willing to have fulfill the role.