You fix, mend or repair something if it is broken and doesn't work. Fixing it will make it work again, or make it look as good as new. Not everything that is broken can be fixed.
A helix is a curve in three dimensions. The thread of a screw is a helix, and wire coiled around a rod makes a helix. A spiral staircase is a helix. Some plants, like in the picture, naturally grow into helixes.
The word "coil" is sometimes used to mean a helix and sometimes used to mean a spiral, or sometimes used to mean the act of wrapping something around something else to make a helix or spiral.
Kicks is the plural of kick.
It might also be a slang word for something you enjoy, for example "she gets her kicks from collecting shells".
Mixing is a way of combining two or more things together so you cannot easily tell what went into the mix.
You make cake batter by mixing the ingredients together, and you make new colours of paint by mixing different colours together. Food described as 'mixed' like mixed candy or mixed nuts is made from several different kinds of food mixed together.
The picture is of someone mixing several different colours of paint together.
Phoenix is the capital of Arizona in the United States of America. It has a population of 4.1 million.
