A DEP LEAR 35 FROM CCR OVERSHOT ITS ALT AND UNDERSHOT ITS HDG DURING A CONFUSED; RUSHED DEP. IN THE COURSE OF EVENTS THEY ALSO EXPERIENCED A CONFLICT WITH AN SMA IN THE AREA.

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ON DEP FROM CCR; TWR INSTRUCTED US THAT A STEEP CLBING L TURN WAS REQUIRED FOR NOISE ABATEMENT AFTER TKOF. AFTER LIFTOFF WE ESTABLISHED A 6000-8000 FPM CLB. WHEN HANDED OVER TO OAK DEP CTL; I DOUBT THEY HAD AN ALT READOUT ON US AS HE URGENTLY CALLED TFC AT OUR 12 O'CLOCK; 1 MI; AT 5500 FT. AT THAT TIME WE WERE PASSING 7000 FT AND BY THE TIME WE ANSWERED WE WERE AT 7400 FT. HIS URGENT CALL DREW OUR ATTN OUTSIDE TO LOOK FOR THE TFC AND AWAY FROM OUR LEVELOFF. HIS URGENT CALL SO FIRMLY GRIPPED OUR ATTN; WE DID NOT HEAR THE 1000 FT TO GO ALT ALERTER. HIS CALL CAME JUST AS WE WERE READY TO START OUR LEVELOFF AND DISTR US SO THAT WE DID NOT START OUR LEVELOFF UNTIL WE RESOLVED THE TFC CONFLICT. AS A RESULT; WE REACHED A PEAK ALT OF 600 FT ABOVE OUR ASSIGNED ALT OF 8000 FT. ON DEP FROM CCR WE ADVISED ATC WE WOULD NEED 90 MORE SECONDS TO BE READY FOR TKOF. TWR CLRED US FOR TKOF WITHIN 15 SECONDS; CAUSING US TO RUSH OUR BEFORE TKOF CHKLIST. AS A RESULT; WE MISSED SWITCHING THE GPS SELECTOR KNOB BACK TO NAV FOR THE SID. TWR ASKED FOR A HIGH RATE OF CLB WITH A TURN BACK TO THE N. THIS MANEUVER REQUIRED US TO BE LOOKING OUTSIDE AND WHEN WE COMPLETED THE TURN WE SAW THE TIGHT TURN HAD PUT US ON THE OUTBOUND RADIAL. THIS WAS NOT TRUE AS THE HSI WAS IN GPS. WE HAD PROGRAMMED THE GPS FOR THE FILED FLT PLAN. HOWEVER; ATC DID NOT CLR US AS FILED AND WE DID NOT HAVE TIME TO REPROGRAM THE GPS. THIS ALL RESULTED IN US THINKING WE WERE TURNING ON COURSE; WHEN WE WERE STILL S OF THE VOR (OUTBOUND COURSE 072 DEG RADIAL?). THERE WAS A VFR ACFT IN THE AREA. THOUGH WE WERE ABOVE IT; CTR DID HAVE AN ALT READOUT ON US WHICH CAUSED HIM TO THINK WE MAY BE TOO CLOSE.