No, E102 (tartrazine) is not banned. It used to be banned in some countries before EU harmonization. But food producers probably avoid it due to the required labeling.
Seems E124 (ponceau 4R) is not banned? This study[0] has "a total of 227 products were labelled with ponceau 4R" although they do estimate daily intake is below safe levels.
I understand how the kosher rules around food probably originated - basically avoiding what in those times would have been dangerous options. Do the kosher rules get updated for the modern era with respect to things like additives etc? We’ve learned that many modern additives (can) have negative health impacts. Do things like this get considered?