Good news so far, you have enough memory and there is nothing that appears to be bogging you down.
Next, find your original system install DVD. Insert it then restart your computer using > Restart... As soon as you hear the startup chime press and hold the D key on your keyboard.
This will start Apple Hardware Test. Let it run all its tests to determine nothing is wrong with your hardware. If it reports anything other than "no problems found" then quit Apple Hardware Test and restart the computer.
This time press and hold the C key. This will cause the computer to start with your DVD instead of the internal hard disk. It will take longer than normal.
When it finishes you will have the "install Mac OS X" screen. Ignore it for now - select Utilities from the menu, and select Disk Utility. When it starts you will see your internal hard disk on the left column (it's a grey box). Select it and then click the "repair disk" button at the lower right. It will take only a few seconds. Then select the disk below and to the right of the first one - it is probably named "Macintosh HD" and otherwise looks the same as the first. Click "repair disk" again. This may take a few minutes.
Record any problems it found - it will be red text followed by green text if anything was repaired.
When you are finished you can quit Disk Utility and then Restart from the menu. Restart your computer normally, eject the DVD and put it back in a safe place.
Let me know what your results are.