Anthony Davis should stay in Lakers, I know he will. He just needs to stay off alcohol. He's not sober since championship night.

Only time will tell if AD would remain a Laker but i doubt he will remain in that purple and gold jersey if there is a very tempting offer from other teams as he won't hesitate to sign since he already that championship ring. NBA is business so i think AD would take more money if the opportunity is there.
Yes, but I believe Davis will stay as the Lakers could still offer him a great contract
https://sports.yahoo.com/report-anthony-davis-plans-to-opt-out-of-287-m-option-but-will-resign-with-lakers-151255112.html The Lakers can offer Davis a five-year, $202 million deal in the offseason, more than any other team can pay Davis.
With that, I think Davis would still want to leave if he wants to earn the best salary because he will be on the top in terms of earnings per year which he will have a 40.4 million per year while the top 1 now is Curry with 40.231 million per year according to
http://www.espn.com/nba/salaries.