Little red dwarfs are fully convective, so nothing spins like a solid would. The Sun spins like a solid, they think, for the core and radiative zones, but convective for the outer zone. The boundary is called the tachocline. I've tended to think this is the place where the seeds for storms begin -- like trailer parks for tornadoes.
But these low mass stars can have a life up to about a trillion years, so a few billion years is long before maturity, whatever that looks like. There should be some older red dwarfs that may exhibit fewer tantrums, or has this been studied already? They are hard to see because they are so dim, so these new giant scopes will offer a great deal more in this area, no doubt. The JWST should help as well given it's longer wavelength advantages.
I have seen descriptions of the early solar system as a pin-ball machine due to all the wild dynamics. The Nice model, IIRC, manages to predict, after wild orbital shifts, all the current planetary orbital locations with the exception of Pluto, so it's not a perfect model.
I think stability came after Jupiter and Saturn found their resonance with one another, but that is going on my memory as well.
These dynamics may have tossed large bodies outward, including Planet 9, if one is ever found.
Given the large number of massive stars found, the observations of more rogue planets seems logical. Space is so big, however, that odds don't favor one coming our way. But, who knows, at least two interstellar objects have paid us a visit, ignoring UFO's, of course.
I'm unsure what you mean by more challenging. Progress for greater capability of discovery is only getting better.
HZ exos are certainly rare. I find only about a dozen with over 5400 confirmed that are about the size of Earth and likely are capable of having liquid water. IMO, the number is likely about 2 or 3x this figure due to the lack of proper equations that define boundaries. The equilibrium temp. method places the Earth outside the HZ, for instances.
But if we extrapolate the, say, 10 HZ exos per 5000 stars, then this number becomes ~200 million for our galaxy assuming only 100 billion stars. But many, if not most, will have unfavorable orbits around the galaxy. Too far out, and poor metal concentrations are possible. Too close may find too turbulent an environment.
However, after running the program just now, using what I call the "Kopp" method (atmospheric approach), there is only one exo that is in the HZ that is close to the size of Earth.