Path of the Wild Soul.

The realm of the Feywild abounds with beauty, unpredictable emotion, and rampant magic. A barbarian exposed to this realm feels emotions equally as powerfully and magic saturates their body. When a barbarian who follows this path rages, it is a bellowing roar for freedom, an explosion of expression, manifesting in unpredictable ways.

Level 3 Features:

Lingering Magic.

At 3rd level, your body can react to the presence of magic. You can cast the Detect Magic spell without using a spell slot or any spellcasting components.
Constitution is your spellcasting ability for this spell. You faintly glow a colour corresponding to the school of magic you detect (you choose the colours).
You can use this feature a number of times equal to your Constitution modifier (minimum of once). You regain all expended uses when you finish a long rest.

Wild Surge.

Starting at 3rd level, magic erupts from you as you rage. When you enter your rage, roll on the Wild Surge table to determine the magical effect produced. If the wild surge requires a saving throw, the DC equals 8 + your proficiency bonus + your Constitution modifier.
Some surge effects are persistent; they are active for as long as you are raging, and end once your rage ends. You can only have one persistent effect active at a time; if you trigger another wild surge and roll a new persistent effect, the new effect replaces the old one.
Additionally, whenever you take damage, roll a d20. You trigger a wild surge if the result of the roll is equal to or less than half the damage you took. Once you trigger a wild surge in this way, you cannot trigger another one until the start of your next turn.

Level 6 Feature:

Magic Reserves.

At 6th level, you can channel the magic surging inside you into other creatures. You have a pool of magical energy that replenishes when you take a long rest. The amount of energy in the pool is equal to half your Barbarian level (rounded up).
As an action, you can touch a creature and expend energy from the pool to restore one of the creature's expended spell slots, expending an amount of energy equal to the slot level. You can restore multiple spell slots with a single touch, expending the appropriate amount of energy for each. You cannot restore a spell slot of 6th level or higher.
Alternatively, when you use this feature and expend energy, the creature instead gains temporary hit points equal to five times the amount of energy expended, up to a maximum of 30 temporary hit points.

Level 10 Feature:

Arcane Rebuke.

At 10th level, the magic crackling within your soul lashes out in times of danger. When a creature within 60 feet of you forces you to make a saving throw while you are raging, you can use your reaction to deal 3d6 force damage to that creature.

Level 14 Feature:

Chaotic Fury.

At 14th level, you become a wellspring of wild magic while you are raging. As a bonus action, you can trigger a wild surge and roll on the Wild Surge table.

Wild Surge Table.