A CESSNA CONQUEST CPR PLT OVERSHOOTS HIS ASSIGNED ALT AND FAILS TO MAKE A XING RESTR. CITES WX; ICING; COM PROBS AND PAX DISTR. HE HAD MISSET HIS ALT ALERTER FOR THE WRONG ALT.

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ON IFR FLT PLAN FROM 2A0 TO SUS ON OCT/XA/97 AT APPROX AB00. AS PIC I WAS INSTRUCTED BY ZKC TO DSND FROM FL230 TO CROSS 10 MI E OF GLASS INTXN AT 12000 FT. ON DSCNT I ENCOUNTERED RIME ICING FROM FL190 TO 13000 FT AND GAVE ZKC A PIREP WHILE ALSO LISTENING TO SUS ATIS. ZKC SWITCHED ME TO STL APCH. IN DSCNT; THE ALT PRESELECT WAS SET TO 11000 FT EITHER INADVERTENTLY OR ASSIGNED. ON INITIAL CALL TO STL APCH I REQUESTED LOWER WHILE STILL IN DSCNT TO GET INTO VMC. THE ICING; TIME TO GIVE PIREP AND ANSWER PAX QUESTIONS DIVERTED MY ATTN. SOME XMISSIONS TO AND FROM ZKC BY ME AND OTHER ACFT WERE BLOCKED. STL RESPONDED BY ASKING ALT AND I RESPONDED BY STATING; '11000 FT; REQUEST LOWER; I HAVE THE SPIRIT OF ST LOUIS ATIS.' STL APCH ASKED WHO ASSIGNED 11000 FT AND I ANSWERED ZKC. I STATED I WOULDN'T HAVE SET IN 11000 FT IF IT WASN'T ASSIGNED; AND THAT I HOPE I DIDN'T MESS UP. STL APCH DID NOT ACT CONCERNED; NO HDG OR IMMEDIATE ALT CHANGES WRE ORDERED AND HE DID NOT CONFIRM I WAS NOT ASSIGNED 11000 FT. NO OTHER ACFT WERE INVOLVED AND I WAS NOT IN THE CLASS B. WITH ALL THE OTHER CONVERSATIONS GOING ON I DON'T KNOW IF I WAS NOT ASSIGNED 11000 FT BUT HIS INITIAL QUESTION CONCERNED ME THAT I MAY HAVE INADVERTENTLY DSNDED THROUGH AN ASSIGNED ALT.