Are these 2 RAMs compatible in a way that I get the best performance out of both of them?
Sim, eles são compatíveis, não, eles não serão ambos exibidos da melhor maneira. O módulo de menor desempenho define o ritmo.
Does it violate any type of warranty by manufacturer that I am using another company's RAM in the next slot?
Quem sabe. Eles não precisam saber, não é? ;)
Is it okay to install RAMs of different frequencies and different brands?
Sim.
Do they effect each other or the performance in any way?
Sim, veja 1.
Which is the effective way of putting them in the slots? Should the bigger RAM be in slot 1 or slot 2?
Não importa.
Can I also select a RAM of different CL but same frequency?
Sim, veja 1.
Can I also install GDDR3 RAM in my laptop?
Onde você compraria isso? Não.
Can I upgrade RAM to more than 8GB, if my laptop does not support it?
Talvez. Você terá que tentar.
Did my pre-installed RAM stopped functioning because of the newly installed GSkill RAM of different frequency or CL?
Não.