I know one person attempting to reassure you on here probably wouldn't help, but let me try anyway being a fellow FSW Outlander.
Firstly, you had an extremely quick MEP/BIL update on your application, literally 8 days after AOR when it's taken most of us closer to 3 weeks. In my situation, being roughly a week earlier than your application submission (25th April AOR), I waited a whole month for it. Remember, this also means your R10 completeness check has passed. So that should alleviate some anxiety atleast.
Secondly, while it's usually advised not to compare application processing speeds because of varying degrees of complexity for each one, it appears most April AORs have not progressed past eligibility with several stuck on BGC including myself. Belonging to the May AOR cohort, it shouldn't be a cause for concern that eligibility hasn't begun for you. There also seem to be several instances where eligibility and BGC is completed at the same time so there's hope for you yet.
Keep in mind you're only roughly a month in since they've received your application. I know processing recently seems to far exceed IRCC's SLA of 6 months, but I think others here would agree that even speeds of 2-2.5 months post AOR would be gladly appreciated.
Anyway, you probably didn't read most of that but just my 2 cents.
Here's hoping for more of us April AORs (and May AORs) to make it through this month!