Any idea, how much time they generally takes to complete to BG check. Mine started on Apr 19th, since then it's under process. So jus t curious to know any approx timeline for BG check...BGC change from 'Not applicable' to 'We are processing your background check' means that your file progressed in background check phase. You either passed criminality or criminality + info sharing. What was BGC in gckey before 'Not applicable'? 'Processing' I assume.
Your ADR turned to 'reviewing on 9th June' - I think you must have recieved GU? AD reviewing could indicate that your eligibility is under review.
Edit* answering your question, next could be PAL or BGC completed (in AST) if sec too get cleared.