Within a given time limit if the concentration doubles its in the first order and if it quadraples its in the 2nd order..(the concentration of the reactant is halved within the first hundred seconds and its halved again within the next hundred seconds...etc) that's how I figured it out..I dont know whether that's the way we're supposed to get the answer though..
As for the mechanism I dont think there's a way to find the exact mechanism, but you can suggest the reactants and the stoichiometry of the rate determining step..the fast steps are unfortunately guesswork in my case:( lol