Fuel, compression, spark.... Just because a fuel pump is new doesn't necessarily mean it works. Does it turn over (good battery). If it cranks, turn the headlights on and crank the engine, do the lights dim or go off? If they dim battery could use a charge. Which would lead to a charging system issue. They may start and run off the alternator power while sucking the battery dead. But, you should have seen a dash charging warning light. If it had enough compression to get there I wouldn't worry about that potential issue.
Now if that checked out it's time to dig a little deeper. There are relays in the power box under the hood, so start chasing power from the battery to the engine.
The Haynes 2001-2007 Manual has a great section on trouble shooting issues. Also, if you have a OBDI reader you might be able to pull a code that will help. If you can get it to an auto parts store they will usually check codes for free (they sell parts).
I know this is not much help but it is even harder to chase the issue from afar than hands on
Let us know what you find out... Don't get frustrated and, as always, "Enjoy the adventure" Chap