THE FO WAS TOLD TO LEVEL AT FL310. THE COMBINATION OF TURB AND OTHER FACTORS CAUSED HIM TO OVERSHOOT HIS ALT 600 FT BY THE TIME THE CAPT TOOK IT AND STABILIZED AT FL310. ATC SAID TO GO DIRECT KINSTON. BEFORE RNAV WAS PROGRAMMED ATC SAID THE FLT IS NOT HEADING TO KINSTON; AND PROVIDED A HDG. AN AIRLINER CLAIMED THEIR TCASII ALERTED THEM OF THE RPTR'S EXCURSION AND THE AIRLINER SAID THEY WOULD FILE A COMPLAINT.

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TOLD TO LEVEL OFF AT 31000 FT. FO FLYING. COMBINATION OF TURB AND OTHER FACTORS; HE COULDN'T LEVEL IT. ERRATIC INPUTS; BY THE TIME I COULD TAKE OVER WE HAD GONE TO 31600 FT. I TOOK IT AND STABILIZED AT FL310. THEN TOLD TO GO DIRECT TO KINSTON VOR. TOO FAR OUT; BY THE TIME RNAV WAS PROGRAMMED; ATC INFORMED US WE WERE NOT GOING TO KINSTON; AND GAVE US A HDG. AN AIRLINER FLT CLAIMED THEIR TCASII ALERTED THEM. THEY SAY THEY SAW US. WE DIDN'T SEE THEM. THE AIRLINER FLT LODGED A COMPLAINT WITH ATC. ATC IS (ZDC) INVESTIGATING; HAS CALLED ME AT HOME 3 OR 4 TIMES. THEY SAY THEY ARE GOING TO TAKE ACTION AGAINST ME. I HAVE BEEN COOPERATIVE IN GIVING THEM ALL INFO POSSIBLE. THIS IS THE SECOND RPT I HAVE SENT YOU; IN REF TO THIS INCIDENT. I HAVE NOT RECEIVED THE IDENT STRIP BACK; OR ANY ACKNOWLEDGEMENT OF YOUR RECEIPT OF THIS RPT. PLEASE HELP. REMEDIAL ACTION: I HAD BETTER FLY IT IN TURB. WHEN I SEE THAT I CAN'T CONFORM TO CLRNC; SO INFORM ATC SO THEY CAN ISSUE A NEW CLRNC OR VECTOR US OUT OF THE WAY OR SOMETHING. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED HE WAS FLYING A LEAR 24. HE SAID HE RECEIVED THE ORIGINAL SLIP AND THAT SAVED HIM A 90 DAY SUSPENSION OF HIS LICENSE.