My house would be for sale the next day if I found something like this. I guess the up side is that you didn't need to cut or break up the floor before digging for a new footing.
Not sure where you were headed with this, but this is not a structural repair by any definition.
A wall does not necessarily spread the load over a larger area. In fact, the post(s) and beam may be able to spread the load more than a wall could, depending upon obstructions.
Building a wall is a permanent modification and all pertinent building codes apply. Adding a jack post is temporary, does not modify the structure, and building codes do not apply.
Floor slabs should be 4,000 psi concrete. There should be no problem supporting part of the load of an aquarium with one or more jack posts on the floor slab. If there was any concern for the concrete floor, then setting the post on a piece of 2x6 (or wider) at the floor will spread the load at the floor. Note that the OP will not be supporting the full load of the aquarium with this post or wall. At most, he is likely to be supporting 10%-20% of its weight.
I disagree that a wall is ever better -- structurally there is no difference; in other regards, I would propose that the post is better, since (1) it's completely removable and (2) it's adjustable. A temporary post does not modify the structure. No footing or foundation is required. And in this case, it will not cause code violations and safety issues at the electric panels.