Balancing out classes|COP3

After posting more info about 2 races I've decided to map out exactly how they will work within game space. Since player would be able to choose character from both races, they need to be balanced and give equal chances of winning.

Human classes:

• warrior - male/female; equipped with either sword or axe, can also carry shield (better defense but agility and speed goes down);
• mage - male; holds powerful spells, pretty much useless in close combat in human form; after reaching specific level can use a shapeshifting spell and change into a wyrm and hold this form for limited amount of time;
• dancer - female; offensive attacks, status effects and healing spells;

Nixe classes:

• warrior - male; equipped with spear; high speed and agility, however when this abilities are overused stamina goes down;
• shapeshifters - male/female; can shapeshift into a water-wyrm for limited amount of time;
• bard - female; use of songs to cast various spells, including hipnosis.

I think the above settings would give the equal chances for win, as well as give a bit of choice in terms of different classes and their roles on battlefield. Additionally, I want to avoid marking one of the races as 'bad guys'. Story can be experience from both sides, Nixes are just trying to protect their habitat and Humans are trying to improve their knowladge of the world and use the technology. Initially both races lived in peace, however some unfortunate events destroyed that.