Liao-fan's Four Lessons is indeed a good and interesting read, unfortunately I have only read one section of it... I would find time to finish reading it. Highly recommended

BTW, 'fate' in Liao Fan's Four Lessons simply means Karmic effect. Everything, good or bad that happens to you in your life... can be said a karmic result due to a karmic seed you have planted in the past... and if the person is a good person (this life) and yet he still has a bad life, that has to do with his past life.
Definitely, men can change their destiny... but it is only by inner transformation that can bring out 'outer' transformation. And this is what Buddhism teaches. It is by applying Buddhist wisdom that we can truly change our lives. As for knowing how previous life is about, there is a saying "To know your previous life, see what is happening to you in this life. To know your future lives, see what you are doing with this life."
Regarding remembering previous lives, I believe it is not necessary for transforming your current life, but as long as you practise one day you will eventually remember your previous lives as many people I know have done that. What is most important is to practise well.