1. How should I paragrah and indent quotes and speech/dialogue?
You never want paragraphs too long to stomach... but in the grand scheme of things there really are no rules. It also depends on how open you are to using literary techniques I guess --> insert postmodernism here. Some people have quotes on separate pages opening into a new chapter, others sort of have them on a separate line - play around until you find something you like. As for speech/dialogue, at the very least start a new line.
2. Generally how long should a 'chapter' be?
Again, it's really up to you. Some of my "sections" have only been two paragraphs...
3. Does the story have to have a defined 'plot'? Can we simply building a character through the story without them actually going on any sort of 'journey'?
I would advise some sort of coherency, unless you're planning on a series of short stories. Even then, some sort of connection is highly advised... you DO have to write a reflection statement, you know.
4. That's It!
Don't underestimate editing... that can take three times longer than the entire writing process, easily!!!