state taxes show on the K-1 as paid, when entered (line 13 code w) - you'll need to enter further detail. you should also get state k-1's for states where you are supposed to file returns. Now may pass-through entities pay the state taxes for their partners/shareholders in non-resident states so the taxpayer doesn't have to file. this is not usually possible if the business is located in the taxpayers resident state. this can get complicated because of all the ways a partnership/S-corp can handle state income taxes its partners/shareholders.
don't understand what you mean by state taxes and 401-K.
state taxes show on the K-1 as paid, when entered (line 13 code w) - you'll need to enter further detail. you should also get state k-1's for states where you are supposed to file returns. Now may pass-through entities pay the state taxes for their partners/shareholders in non-resident states so the taxpayer doesn't have to file. this is not usually possible if the business is located in the taxpayers resident state. this can get complicated because of all the ways a partnership/S-corp can handle state income taxes its partners/shareholders.