To get rid of the auto filter just use this amended code:

Sub Macro2()
    Sheets("Store1").Select
    Cells.Select
    Selection.AutoFilter
    Selection.AutoFilter Field:=13, Criteria1:="=Completed", Operator:=xlOr, _
        Criteria2:="=Fabricating"
    Range("C3:C10000").Select
    Selection.Copy
    Sheets("Summary").Select
    Range("B5").Select
    ActiveSheet.Paste
    Selection.SpecialCells(xlCellTypeBlanks).Select
    Application.CutCopyMode = False
    Selection.Delete Shift:=xlUp
    Sheets("Store1").Select
    Cells.Select
    Selection.AutoFilter
    Range("A2").Select
    Sheets("Summary").Select
End Sub

An additional inquiry is can i do multiple cells that correlate to the PO "copied" i.e. If i Need to have PO, Salesperson, and Product rather than just the PO cell
This can be included in the above macro if needed. You'd just need to define what other ranges to copy and paste

alternatively are there any solutions that do not require macros
Not that I am aware of. If you have ~2500 rows of data you want to look at, then in your summary sheet you'd need ~2500 cells to look at each indervidual row to see whether or not there is a desired result, and then you'd have lots of gaps EG you may have data in C3:C10 and then a load of N/A's (or blanks if you use ISNA) until more data.

Unless someone else knows another way...a macro is the way to go