those minute slow jets ,poked with a needle however carefull,can be damaged,im guessing the carbs have been blown through with compressed air with all jets removed?eyeballing 81gs850 jets as a comparison isnt really gonna help,,was there any white corrosion in these carbs on the honda?might just need another blow through.,no kinked fuel hose?not just a sticky cable,the push and pull cables are set correctly?with the tank off make sure the linkages are free,you said the bike has had a poor maintenance history,wd 40 all the rack linkages(im guessing thats been done already?)