Sn1 reactions proceed via a two step mechanism. Step 1 forms a carbocation intermediate, step 2 involves a Nu. attack on that intermediate. The first step is the "rate determining" step, the speed of the overall Sn1 reaction will be determined by how fast that step proceeds. The easier it is to form the carbocation (the most stable intermediate), the faster the reaction will proceed.
What I'm not sure about is why B is considered "horrible." As far as I can tell it's also aromatic.
Ok I THINK I got it. Note I'm commenting on the carbocation intermediates formed by the compounds in the questions.
A. Fair, 2nd degree carbocation
B. I think it's aromatic, considering it has 6 pi electrons (and is planar), but you can't draw a resonance structure for it. Keeping that + charge on an sp2 carbon doesn't sound too stable.
C. Apparently anti aromatic, I'm not sure how to identify an "anti" aromatic compound - just considering it a 2nd degree carbocat would do for the question, though.
D. Fair, 2nd degree carbocation
E. A good 2nd degree carbocation, is aromatic, and is resonance stable.