What is the Difference between the inner self and our outer experiences?

There is none!
Such schizophrenic fragmentation of that which is One is symptomatic of the duality of 'thought', 'ego'!

Whats the difference between 'inner' and 'outer'? The inside of your eyelids? How trivial!

There are no "outer" experiences, its all inner experiences, there are only perceptions of "outside". These perceptions are unreliable, inaccurate and subjective. Its our inner self which influences these perceptions. We may learn from the experiences we obtain from these perceptions and this gives us our sense of self awareness.

There are perhaps three areas: the Self as God-realizing; outer waking consciousness; and waking subconscious, which becomes the dreaming conscious. There are interchanges within and without, yes?
Some resources:
Autobiography of a Yogi, Yogananda;
Interior Castle, Saint Teresa of Avila;
The Path of the Higher Self, Mark Prophet;
Man, Master of His Destiny, Aivanhov;
Long Pilgrimage, Bennett;
The Great Divorce, C. S. Lewis;
The Spark, Barnett; For Couples Only.

The outer experiences are stored in the brain. The inner self is governed by collective unconscious.

http://www.answers.com/topic/collective-unconscious

There are so many differences between the extrinsic and intrinsic activities that it takes whole volumes of information and years of study to catch up with what is known about that precisely. There are people who devote their entire life trying to understand just one little aspect of that activity integrated into what we know in general.