there is no such rush, I guess, There are many who missed the first 3 parts.
I feel dead man's Chest was the best. this one is ...you know , many char's are missing. and there is no journey in Black pearl. I don't like Mr. Sparrow with a girl for full time and sure there will be next part since the movie says a place name starting with T.
There is no explanation for the death of Elisabeth's son, as shown in the start of AWE.