Emb-505 flight crew reported task saturation on departure resulting in heading/altitude deviations.

Attributes
ACN	1602061
Time
Date	201812
Local Time Of Day	0601-1200
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Aircraft 1
Make Model Name	EMB-505 / Phenom 300
Operating Under FAR Part	Part 135
Flight Phase	Climb
Flight Plan	IFR
Person 1
Function	Pilot Flying Captain
Qualification	Flight Crew Instrument Flight Crew Multiengine Flight Crew Air Transport Pilot (ATP)
Person 2
Function	Pilot Not Flying First Officer
Qualification	Flight Crew Multiengine Flight Crew Air Transport Pilot (ATP) Flight Crew Instrument
Events
Anomaly	Deviation - Altitude Undershoot Deviation - Procedural Clearance Deviation - Procedural Published Material / Policy Deviation - Track / Heading All Types

Narrative:

Briefed the departure out of ZZZ that didn't include a required level off; so I was going to hand fly the first part of the takeoff to ensure the altitude was captured. Started the next part of the climb; but did not activate navigation after that point so didn't start the left turn as required. ATC directed us to a new heading and as I was turning; we were approaching the next level off. The copilot informed me we were approaching the altitude at a high rate and we corrected quickly to avoid violating the level off altitude. We activated the autopilot and held our altitude and ATC asked if we were climbing as we had missed his altitude change instructions and expedited our climb at his request.a much more thorough brief by the pilot flying to ensure all sections of the departure are more thoroughly covered in the minds of both crewmembers.

Original NASA ASRS Text

Title: EMB-505 flight crew reported task saturation on departure resulting in heading/altitude deviations.

Narrative: Briefed the departure out of ZZZ that didn't include a required level off; so I was going to hand fly the first part of the takeoff to ensure the altitude was captured. Started the next part of the climb; but did not activate NAV after that point so didn't start the left turn as required. ATC directed us to a new heading and as I was turning; we were approaching the next level off. The copilot informed me we were approaching the altitude at a high rate and we corrected quickly to avoid violating the level off altitude. We activated the autopilot and held our altitude and ATC asked if we were climbing as we had missed his altitude change instructions and expedited our climb at his request.A much more thorough brief by the Pilot Flying to ensure all sections of the departure are more thoroughly covered in the minds of both crewmembers.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.