Mars landing of objects is now a TRL9 problem that has been solved already, and the science has moved forward greatly [1]
Recent rover landings happened at what, < 1 M/S ? which is well within the capacity of the human body.
Considering that Mars atmosphere is substantially thinner, and gravity there much weaker, landing there would be different from Earth anyways.
We are not currently employing any of the more cost efficient methods of getting things to orbit in the first place, for large scale missions of epic size, nor are we currently employing the most efficient propulsion types.
The way I see it, the biggest problem is not one actually being discussed which are the longterm effects on the human body of living on a planet without a protective atmosphere, and protective magnetic field [2]. If getting mass to space becomes less of a financial constraint due to more efficient launch mechanisms, then, shielding would much less of an issue because mass in space would be cheaper [3]
I think that much of these problems come down to the huge capital cost, and unsolved problems around low cost launches; the novel technologies that need to be developed & turned into a new space launch system, and no, i am not talking about traditional rockets.
There’s no problem with landing. The weight limitations you mention are entirely a factor if the current “it has to all fit in one rocket launch” limitation.