DA50 First Officer reported failure of Captain's CRM; communication; and flying skills resulted in a chaotic flight deck and loss of positive aircraft control.

Narrative

Captain was pilot Flying (PF). First Officer; Myself; was pilot not flying (PNF).Upon departure from ZZZ and assigned the ZZZZZ departure; headings; altitudes and speeds were not conformed with. ATC directives not complied with.Crew resource management techniques were forgone by the Captain. Known difficulties with trim; combined with gear retraction failure; overloaded the departure. Division of duties were lost. Positive control of aircraft was lost within extremely busy airspace.The previous days flight; with same crew combination; had yielded a chaotic cockpit. Captain elected not to inform company maintenance of the trim issue; at the end of the previos days flight. Following Captains' crew brief; efforts to clarify duties and expectations; were made prior to departure. The chaotic cockpit continued through both entire flights; with additional deviations from ATC guidance to final approach; at the destination airport; ZZZ1. Increased skill level of the Captain to hand fly and fly vectors to final would have been helpful. Accepting input; suggestions and allowing manipulation of Flight Control Panel by First Officer; could have been helpful. Following division of duties; such as you fly; I will work radios and the abnormal issue; could have been helpful.