I'm not sure I can see what/where you think a brick or concrete problem exists. There don't appear to be any structural issues with the slab and brickwork shown, unless I'm missing something. Cosmetically speaking, yes, a "tune-up" would improve the appearance of previous sloppy repairs. And you might want to address the placement of the pipe handrail's vertical members (embedded in the concrete steps)--as shown, there isn't enough clear concrete cover on the exterior edges to adequately support the pipe posts in the event of heavy lateral loading. Most codes require that railings and posts be able to resist horizontal point loads of 250 pounds, applied 3 ft. above walking surfaces. It appears your posts are too close to the concrete edges to comply with this requirement, unless there's some heavy anchorage below the surface, not visible in the pix.