No, they will not rise properly.
Bicarbonate of Soda (Baking Soda) is pure Sodium Bicarbonate, and when combined with moisture give an immediate chemical reaction, producing masses of bubbles to make foods light and airy. Recipes that use BoS usually need to be done extremely quickly after the BoS is added as it can dissipate quickly.
Baking Powder on the other hand contains Sodium Bicarbonate, Cream of Tartar and a drying agent (usually Starch). Most Baking Powders can be used in recipes that call for the raw mix to be left in the fridge etc, as the powder is a 'Double-Acting' powder.
Single-Acting powders need to be used in the same quick manner as BoS.
Only skilled bakers have the knowledge to interchange these in a recipe and is usually done with extra ingredients.
baking powder helps the cupcakes to rise
unless you want whatever you are baking to taste of mint, no. that is why it is called mint extract, because it is minty, but vanilla extract is vanilla tasting.
cupcakes CUPCAKES CUPCAKES!
There is no substitute for baking soda.
the bottom of the oven.
chemical
It could be used depending on what you are baking. A better substitute would be Stevia.
One can find online recipes for baking cupcakes from webpages that specialize in cooking (specifically baking) which will give you clear instructions as to how to cook delicious cupcakes.
You can try baking soda, but reduce any additional salt.
Baking powder and salt.
no but usually there is alternatives like oils you can substitute instead of baking powder
Not to bake stuff like bread. You can substitute 1 baking soda for 2 baking flour to make reductions. You can substitute 1 baking soda for 1 baking flour for gags (throwing on someone in the shower).