What rules are you using for the grouping?
The quickest way to do that is to use the selector tool, highlight a selection that you have done, use the field calculator to put in a 'key' value (ie week1, week 2 etc).
In any event, you are going to have to draw the boundary. If you had to reuse this boundary, then you could produce the boundary layer, then do a select by attribute or spatial join.
If you need them as separate files, then use the Split layer tool if you and advance license... or since you are using an old arcmap Split Layer By Attribute works for all license levels
as for sorting, a standard spatial sort isn't going to help.
A radial sort around area centroids might help you identify the closest, but given your layout of the zones you are working with... you would be done doing it manually before you finished fine-tuning that.
I do have tools for radial sort but they are for ArcGIS Pro
This sounds similar to one of your other unclosed threads
Great! That works. Now I just want to create polygons that contain points based on attribute value of each point. Also I need these polygons just to touch boundaries, not to overlap each other.