To address both points - there appear to be no individual, well defined tasks that humans can do that you cannot train a machine to do. Some tasks are inefficient, uneconomical, and other impractical, but there appear to be no tasks that in principle machines cannot do. What is missing is broad generalization, human equivalent time horizons, continuous learning, and embodiment.
Robotics has passed the point of superhuman performance for any given task. Software has passed the point of superhuman performance for any given task.
Regardless of the particular technique or embodiment, the constraints aren't "is it possible in principle" but "is it too expensive" and "is this allowed by the pertinent principles and regulations and laws"
We don't have AGI that learns and adapts in real time like humans. We do have incredibly powerful algorithms that can learn from whatever data we throw at them, but many domains where it's impractical, ruinously expensive, illegal, or otherwise not possible to use AI for some other good reasons.
The few islands left to humanity are not fundamental barriers. We haven't solved intelligence, or achieved RSI or ASI or AGI yet; those were never the important thresholds.
AI has always been a question about good enough, and it looks like we've gone solidly past the good enough line into "we can probably automate everything" even if we don't solve the big problems over 5 or 10 years or beyond. I think it's very unlikely we don't solve intelligence by 2030, but even if AI stalls out where it's at right now, and all we get is the incremental improvements and engineering optimizations on current SOTA, we have enough to automate anything humans do at levels exceeding human capabilities.
What AGI and ASI do is make humans economically obsolete. Good enough AI means there might be some places where humans are needed for generalization and adaptability until the exhaustive tedious work gets done for a particular application that enables a robot or software system to be competent enough to handle the work.