First, be advised that I don't think you're supposed to post the same question in more than one area (Corrosion).
Now, what I suspect you have is a heat-affected-zone (HAZ) problem rather than a weld metal one. You appear to have martensite or bainite in tne HAZ (acicular/needle-like structure). Such areas are anodic to the normal pearlitic microstructure, meaning they will preferrentially corrode.
If you know or can determine the base metal actual composition, it will help identify how likely these anodic areas would form while being welded (preheat-related). Just because it's "low-carbon steel" doesn't mean you can weld it with no preheat, assuming you want high quality welds and HAZ'z.