PS3: GTA 4- AWP trophy?

I just did all the requirements for the AWP trophy, but still didn't get the trophy. I think my fault was not waiting for the stats to load b4 doing the last race. I am going to do a 2nd run but b4 I do that I had a question: I have done all the races (GTA and Regular) and non race modes in my first run. If I do only all the races (GTA and regular) in my 2nd run and this time wait for all the stats to load b4 the last last race, will I get my platinum?