In　this　paper,　we　focus　on　an　open　problem　raised　by　Nakamura-Wada　(2005)　[16]　&　(2007)　[17]　on　the　continuous　dependence　issue　for　the　Maxwell-Schr　&　ouml;dinger　(MS)　system.　Motivated　by　the　idea　of　Kato-　Ponce　for　Navier-Stokes　flow,　here　we　combine　approximate　argument　and　small　parameter　analysis　to　prove　the　continuous　dependence　for　a　less　regular　strong　solution.　In　addition,　driven　by　the　open　problem　on　the　uniqueness　of　energy　solutions　by　Guo-Nakamitsu-Strauss　(1995)　[9],　we　also　present　a　result　analogous　to　weak-strong　uniqueness　through　modified　energy　estimates　and　small　parameter　analysis.　(c)　2025　Elsevier　Inc.　All　rights　are　reserved,　including　those　for　text　and　data　mining,　AI　training,　and　similar　technologies.