Hi Flupsi,
I am not sure if I quite understand your question?

Your original Code saves as Adjustment JNL.csv

In your original code the following line
.Sheets(1).Name = "JNL"
changes the first Worksheet name.

So if you do not want that change to happen, then simply remove that code line

Code:
 Sub CreateCSVFile()
Dim MyPath As String
Dim MyFileName As String
'The path and file names:
MyPath = "C:\Journal Templates"
MyFileName = "Adjustment JNL.csv"

    If Not Right(MyPath, 1) = "" Then MyPath = MyPath & ""
    
With ActiveWorkbook

    .SaveAs Filename:= _
        MyPath & MyFileName, _
        FileFormat:=xlCSV, _
        CreateBackup:=False
    
    .Close False
End With 
End Sub
Alan