Hiya,
Not been around recently but cheers for the support Sped
Download this PDF Installation Guide and follow the instructions.
http://www.linker4u.com/success/imag...English-v2.pdf
The two smaller tabs are extremly simple to install, the larger one (Known as the Disc Break) is confusing unless you've done it before.
To cover a few of your questions.......
* Yes the disc is supposed to spin when the tabs are in
* No you can't close the cover when they're in
* Yes you'l get dust inside the unit but easily preventable if you leave a disc in all the time.
The only really advice I can give you other than the guide is that I've found if you're gentle with the disc break and pull it gently towards the front of the console while pushing down it fits easily.
There is a small tab at a right angle on the disc break part, this should sit level with the base of the ps2.
If through messing around you've damaged the larger one let me know cause i've got one spare somewhere.
J