Well, that's a complicated question. I think your salinity must be low (if the ICP values are correct), but if you want to discuss if conductivity might still be "off" of the actual low salinity, then we can.
Sodium low and sulfur high are not "caused" by each other. They can each move up or down independently in seawater.It's not like they trade off against each other the way chloride and sulfate would (at fixed salinity).
So part of the question is, if sulfate is high (at fixed salinity), then chloride must be low to maintain the same total number of negative charges to be the same (since together they comprise the huge majority of negative charges in seawater).
The question is then how conductive are two chloride ions relative to one sulfate?
There are a variety of ways to compare them, but two chloride ions in dilute solution are close in conductivity to one sulfate ion in dilute solution:
see the table here
https://en.wikipedia.org/wiki/Conductivity_(electrolytic)
Does that exactly hold in seawater? Not sure, but I'd guess that conductivity used to measure the salinity of seawater will not be far off just because one swaps out 2 units of chloride for one of sulfate at the levels you have.
The sodium issue is more complicated, since the salinity must actually be low. We can see all the main things that sodium could be swapped for (magnesium, calcium, potassium) and those are not high enough to simply have been swapped for sodium ions to make sodium low and those high.