I really need to polish my US history, so please help.
Were there just on-going wars between Columbus' team and Native Americans, and then more wars with Europe and now Americans? I have no clue what happened in between.
That's an enormous question for anyone to answer without more details. What brings you to answer the question, and why do you "need to polish" your history? As a starting place, I recommend you check out this open-access textbook for American history written and edited by college instructors: http://www.americanyawp.com/ In general, it's quite well-written and reflective of recent research.