More than likely, yes wala na sila hihingin. However, the background check and verification never ends until you get your PR {few people think the vetting stops the moment the NA appears on the website, but that is not really true. They re-check and double check - even triple check applications they've already vetted.} . So if in that course they see another issue, they will let you know. But suffice it to say, for now you're good. The "major" issues have been resolved. There is only a very, very small probability they will ask for more.
Good luck