Looking for a labtop that can run LoL and Cs Go Med High and light for school

Lighter weight laptops are much more expensive. Ones that can GAME require a dedicated GPU inside, which increases weight, heat and cost to build. So again the costs go WAY UP for the portability. Your looking at NO LESS THEN $1200, and more likely $2000 for a system to meet all your qualifications.

YOU MIGHT want to consider instead just getting a cheap off the shelf laptop for school ($249 Walmart) then instead in a PS4 console ($400+) that not only can play all those games but more all on HIGH settings and great performance.