At the stage it is, I would hope its not finished.
If it your place I would be looking at the plans especially the location of the steel beams, tie down methods and spacing of the tie down to the block work and tie down method joist to hanging beams etc, method of fixing the face plate to the bricks (not sure which photo) it was looked like it was ramset nailed. There was also one set of joists that just sits on the brickwork and no plate under. This is why I feel it has not been finished. I would also be looking at the spacing of the ceiling joists.
Before I got to concerned I would wait till the framework is finished and ready for its inspection.
I also cannot answer about the box section of steel other than the beam was short.
Brian
Brian