Hello!
1) A "beehive" is the structure that bees live in, "honeycomb" is what a beehive is made of. No one says "bee nest" :). Most people (that I know of) only eat the honey.
2) To me, "corn" isn't a word that can be made plural, without sounding a little strange. I would say "two pieces of corn", or "two pieces of corn on the cob".
3) I don't think "consist" is the best way to phrase this. Since you are trying to describe what the goal *is*, I would say: "our goal *is* to redesign the...". The most correct way to use "consist" is when describing a concept that has multiple parts, for example: "our plan to redesign the country's economy consists of X, Y, and Z".