The Model 3000 is a fairly close copy of the Remington 870.
This means you can easily remove the trigger group and see what's what.
If the hammer isn't cocking, it's probably something with the sear.
Simply push the hammer back and look for whatever is preventing the sear from catching the hammer.
If the hammer won't cock, the disconnecter system prevents the slide lock from engaging.
Possible first step is to give the trigger group a good cleaning to blow out a bunch of burned powder particles and debris shaved off the shells.
Disassembly of the group isn't necessary, you can just soak the entire group in a solvent that won't strip the coating off the aluminum trigger guard, or use a gun scrubber to blast it out, dry thoroughly then spray in a good lubricant.
Check the hammer and sear for broken or chipped engagement surfaces, and make sure the trigger-sear spring is present. It's easy to see, it's right between the trigger and sear up top.
If you do have to disassemble, everything comes out easily until you get down to the hammer and action bar lock. The action bar lock is riveted in place and you need to replace it with a new part if you have to break the rivet.
Here's an exploded view of a Remington 870, which works for the 3000. Note that parts DO NOT interchange, but you can buy new 3000 parts from Gun Parts Corporation and LSG. Gun parts sell them under both the S&W and Mossberg name, both as the Model 3000:
http://www.stevespages.com/ipb-remington-870.html