I don't have at the moment the solution for the Options. But this is the script to export to JT.
It's based on the STEP example in the Inventor API documentation.
Public Sub ExportToJT(inventorFile As String, jtFile As String)
' Get the JT translator Add-In.
Dim oJTTranslator As TranslatorAddIn
Set oJTTranslator = ThisApplication.ApplicationAddIns.ItemById("{16625A0E-F58C-4488-A969-E7EC4F99CACD}")
If oJTTranslator Is Nothing Then
MsgBox "Could not access JT translator."
Exit Sub
End If
Dim oContext As TranslationContext
Set oContext = ThisApplication.TransientObjects.CreateTranslationContext
Dim oOptions As NameValueMap
Set oOptions = ThisApplication.TransientObjects.CreateNameValueMap
If oJTTranslator.HasSaveCopyAsOptions(ThisApplication.ActiveDocument, oContext, oOptions) Then
' Other options...
'oOptions.Value("Author") = ""
'oOptions.Value("Authorization") = ""
'oOptions.Value("Description") = ""
'oOptions.Value("Organization") = ""
oContext.Type = kFileBrowseIOMechanism
Dim oData As DataMedium
Set oData = ThisApplication.TransientObjects.CreateDataMedium
oData.FileName = jtFile
Call oJTTranslator.SaveCopyAs(ThisApplication.ActiveDocument, oContext, oOptions, oData)
End If
End Sub