MP can't accelerate the process, they only ask for the status of the application and that is what they provide back to us. Security is part of the BG check. Have you requested ATIP / GCMS notes, you can get more details about the application with the notes: (Security check, RCMP, your local office processing the application, when was the file transferred, and if it is considered routine application). That is what I got from the notes, it gave me the date of the Security check, when RCMP FP where received, when the file was transferred from IRCC Sydney to IRCC Calgary, and it even says that is Routine - File Review Ready. Knowledge, Residence, Language, and Prohibition have not been started.
Hope you get a test invitation very soon!!!