Congrats on your first MP soap! You will be hooked for life :).
As Lisamaliga said, need to how much MP base you used.
I assume you used the one individual mold(3.5 or 4 oz), if so, yes, 6 capsules of Vitamin E can make your soap greasy.
Those look so cute! Spritzing alcohol is important. I assume it is a two layer job, the base and frosting. You don't want to wait too long after the first layer(the base). When the first layer is too cold, the layers are more likely to separate. Hope this helps!
I don't eat red meat so it was only a natural thing for me to stay away from them all these years. But it is this soap forum, indeed, that convinced me greatly to try using lard in soap. I've made two batches of lard soap so far, I really like how the lard soap feels on my body!
Hemp seed, evening primrose, borage (but these can go rancid quickly), camellia seed, rice bran, grape seed, safflower, lanolin...
I hope this helps :).