Gaming Laptop Wanted!

Hello. I am currently in the market for a laptop, so that I can use it for college. As much as i will need it for creating documents, taking notes, and researching, I want it to be a high performance laptop that will let me play any game in my steam library. As far as money goes, I have a target price for lower than $1750, but I could be pushed up to $2000 if there is a big difference in performance ranges. I have built my own desktop Gaming PC, so I do know a lot about computer hardware and software. I know that Laptops differ in some ways from desktop PCs, so that is why I came here first. I have a list of questions about things that I would like to know about laptops and their hardware. If you could answer any of these questions I would appreciate it. Thanks!

1. What is a good Intel Processor for a gaming laptop?

2. what is a good Nvidia GPU for laptop gaming?
- I have a Nvidia GTX 770 (2GB) installed in my desktop PC. I would like to have just as much performance from a laptop GPU.

3. what should I look for in a laptop monitor that would be good for gaming?

4. What brand of PC would be best for Gaming?
- For my desktop PC's motherboard and GPU, I chose MSI. I have not been dissapointed in any way by the products i bought from them.

5. what is a good website to get a custom gaming PC from?

Some more preferences of mine are:
- Having at least one SSD (mostly for OS and a few games)
- Windows 8.1
- Big screen, good for gaming
- Big HDD size
- Long battery life
- Easy to transport (thin, light, etc.)