Critical Reasoning (CR) | Re: An undergraduate degree

Hi GMATNinja Experts
Please help me by validating my reasoning:
Conclusion:Murray, an accountant with both a bachelor's and a master's degree, cannot be accepted for the position of Executive Administrator
Premise: he has a felony conviction and no one with a felony conviction can be appointed to the board

I am supposed to find correct assumption for this Q type

A and C -> Goes against the premise, rejected

E - > irrelevant

I am confused between B and D.
D -> If Murray did not have