[10] From 1981 until 1989, she worked at Cades Schutte Fleming & Wright, a private legal practice, in Honolulu and became a partner for the law firm in 1986.

[11] On June 20, 1994, Mollway successfully argued for the respondent, Norris, who was fired as an aircraft mechanic at Hawaiian Airlines due to his refusal to sign a maintenance record for a plane he deemed unsafe.

[12] The case was brought to the State Court as a violation of public policy expressed in federal statues, but it was later dismissed under the Railway Labor Act.

[13] Mollway's argument affirmed the judgement that the Railway Labor Act does not preempt state law causes of action.

[21] The difficulty of Mollway's confirmation process affected her private practice due to the pending nature of her nomination which made the number of clients willing to hire her shrink.

[19] Mollway determined that the plaintiffs lacked the right to challenge the constitutionality of federally mandated programs, thereby dismissing their case against Hawaiian homesteaders.

[35] The court ruled that limiting OHA elections solely to Hawaiian voters based on race was unconstitutional.

[35] In 2012, Mollway granted Hawaii prisoners the right to marry, ruling in favor of the American Civil Liberties Union.

[36] In 2014, Mollway ruled in favor of environmental groups when they sued the County of Maui for discharging groundwater pollution without a permit.

[37][38] In 2015, Mollway again ruled in favor of environmentalists who accused the Navy of threatening marine mammals due to their use of sonar and explosives during training off Southern California and Hawaii.

[40] The organization is committed to improving the lives and careers of women attorneys and advancing their legal professions and promoting equal opportunity.