The manufacturer should be able to provide a list of ingredients for the base you are using. Most likely, it is a synthetic detergent (syndet) product. If the
ingredients include sodium lauryl sulfate, its a detergent based product.
If your ingredient list reads like this, you can call it 'glycerine soap'. Just don't mislead anyone into thinking you made it from scratch.
INCI Ingredients: Sodium Cocoate, Sodium Palmate, Ricinus Communis (Castor) Seed Oil, Carthamus Tinctorius (Safflower) Seed Oil, Glycerin, Water, Sorbitol, Sorbitan Oleate, Glycine Soja (Soybean) Protein, Titanium Dioxide.
You can't, unless you use goats milk melt & pour base.
http://candleandsoap.about.com/od/soapmakingbasics/ss/basicmeltpour_2.htm
This link has some info that may answer your questions on 'how to' put decorations into your soaps. Have fun, experiment, and don't push yourself to start selling until you're ready to talk with the most inquisitive customer about your ingredients.