I'd be drawn towards A to be honest, the nucleophile is an enolate ion but not always formed from a diketone. For example, in a Robinson annulation, cyclohexanone can be used as the Michael donor and the alpha carbon is deprotonated to give the enolate ion.
I'd like to know how some people think B is false tho? I was under the impression 1,4 additions can only occur in an α-β-unsaturated substrate? If it wasn't α-β-unsaturated, how could it be a Michael addition by definition and how could conjugate addition occur? Apologies of course if I am wrong but would love somebody with more experience than myself to clear this up.
D and E definitely look correct tho and, as others have pointed out, your 'weakly basic' may differ from my definition of it. You would need something to compare it to in order to give a definite answer for that one.