I agree to a certain extent with our aussie friend. It seems to me that E6013 electrodes are quite misunderstood by some on this forum, and 90% of the time when people make posts stating to use E7018 electrodes there is actually no need. Most people asking about electrode selection on this forum are using common or garden mild steel, which can be welded up to 20mm thick (3/4") perfectly well with a 6013 (and in some cases thicker). Even for pipe work 6013 can be used, depending on the tensile strength of the pipe, wall thickness
and aplication. Some structural steel can, and is also welded with 6013, again , depending on the material and wall thickness.
With regards to the photos posted the second fillet looks fine although I'd go easy with the chipping hammer and use a cold chisel instead. I'd run a 2.5mm(3/32) 6013 at about 95amps for that weld, making sure to push it right into the corner.