2. What other identifying signs will possibly
    note foundation settling problems?

Buckling in foundation walls, cracks in ceiling or walls and cracked or buckled interior concrete floors to name a few.
If any one of these signs occur, it's time to call a foundation repair specialist to examine your situation -- because foundation problems rarely stabilize and just become greater over time thus increasing the severity of the damage and the loss of investment.

3. How will I know for sure?

Call us for a free no obligation analysis and estimate.
A BJC Foundation Repair specialist will visit your home, evaluate your problems and determine whether your foundation is in need of repairs. If so, they will describe the problem in detail, provide a price quote and length of time it will take to complete the project. They will tell you the number and size of piers that will be required, why and where they will be placed. It then becomes your decision.

4. Will this action stop all settlement of
    the structure in the future?

Once a foundation has been strengthened with Helical Steel Piers® the opportunity for movement/settling in the repaired area is almost zero. Once accomplished, further damage to other portions of the foundation's walls is unlikely. Although this may be an oversimplification your home or building is much like a wobbly table caused by an uneven floor. Once you shore up the section of the wobbly table this corrects it's unevenness. The table will be firmly stabilized. It does not mean, however, that excessive standing water caused by poor drainage or change in landscaping cannot cause additional soil instability once again.

5. Will all cracks in the brick walls close
    once the foundation is corrected?

If you mean will they close to the position they once were, probably not. They will close but to what extent is impossible to predict. Many will close completely. In any case, the cracks may be tuck pointed and your wall will look whole once again.