The subconscious mind is your filing system of past experiences, your culture and everything that makes up you. It is all stored away. It is a true memory bank of everything that you have been exposed to. It uses all that information to steer you in the right direction. It is said to be programmable and needs direction from the conscious mind to function the way you want it to. Otherwise it tends to have a mind of its own relying on the habits of a life time to sort things out.
How to find inner peace can be best answered by learning to know who you are and what your life's purpose is. Of course the answer itself is not a quick fix solution. It does have a lot to do with removing the ego from dominating your thoughts.
Having a morning meditation routine is something that I recommend very highly and I can also claim that I've found it life changing. You need to create time for morning meditation as this will be a wonderful new habit for transforming your mornings. I assure you that taking 5 to 10 minutes for quiet reflection will make a huge difference to how you face up to the challenges of the day. You will be far more ready to take on anything that comes your way.