Your new battery clearly does not have a charge, or is it backward? First thing first, check to see the voltage at the battery terminal, and make sure that it is installed correctly. It could be a defective battery.
What voltage did you get? Did you charge it? I know those are obvious, but had to ask.
You could take the battery back where you bought it and have them do a load test. That's a remote possibility, but I've had bad parts before. I'd also check fuses (both boxes). I believe the one under the hood contains the main power fuses, but inside fuse(s) also. There should be a fuse puller... probably in the inside box.