So you have proper, traditional, hot laid asphalt? Anything else is not asphalt.
Atop that a membrane then sand bedded pavers?
Looks like green mineral roofing felt in earlier pics with all the nasty associated joints, laps, folds and seams. Pay particular attention where it laps up any walls etc. Hot laid asphalt is great and forms a homogenous layer even on upstands where you incorporate fillets. Until of course it cracks.
I'd assume the flat areas are ok and focus on the bold highlighted bits.