All in all it depends on how well supported your Laptop is. A lot of laptops have crummy ACPI support under Linux.
Personally I never messed around with it a whole lot, it's a bit of a sore spot when it comes to Linux.
For the Monitor shutoff you may have to edit your X configuration.
see here Scroll down to section "2.4. XF86Config Tuning", it's for XF86Config, but yours is going to be /etc/X11/Xorg.conf
Basicly you edit the sections and make sure that "Option "DPMS"" is in your monitor sections and then you add those options with whatever time you want to your server layout section. Editing text files for configurations is pretty normal stuff to do in linux. You are going to have to be superuser to edit it ("su -" command.). There may be some Fedora specific configuration GUI whatnot to do it, ask for that in Fedora's users forums.
For the rest of power management stuff it's going to depend heavily on your laptop make and model. Check out
http://www.linux-laptop.net/ for your model or one similar to it and see what they figured out.
There are nice GUI little tools called "desklets" that you can install that have been made for laptop's ACPI stuff, but like I said before I never messed around with it much.
http://gdesklets.gnomedesktop.org/
Stuff like this is pretty much Distro-specific for GUI tools and such, check out Fedora's forums and see if you can get better directions...
http://fedoraforum.org/forum