You will need a 5" bolster chisel and a 4lb lump hammer.
Stand laptop on its edge partially opened so it doesn't fall over as you DO NOT want to damage it.
Place bolster chisel in the joint groove and give it a good firm whack, ideally with a 2 foot to 2 foot 3 inch swing (this usually works) with the lump hammer, this saves you having to go out and buy those little jewellers screwdrivers that you can never see which one is which.
Next you need a jemmy bar to gently prize out the gubbins (copyrighted word belonging to Bodgitt & Scarper) in the back but be careful, if it's stubborn give the jemmy a whack with the lump hammer.
(I hope before you started you knew or wrote down what a qwerty board looks like).
Tip over and rattle until all your buttons drop out and then VERY GENTLY wipe the contacts on your now split circuit board with methylated spirits.
Don't worry if you have too much meths as it can be quite palatable when you run out of your usual tipple.
Clean off the backs of all your keys, paying special attention to the four fluffy ones that disappeared under your settee and re-assemble your keyboard.
Araldite all the gubbins back in (well, it all came out so it all must fit back in)
Finally, nip outside and get a couple of laccy bands that the postman left lying in the street to hold the back on, et voila!, good as new
I cannot help with the screen as I have no experience in that area.
Hope that helps.