i'm not very good with keyboards and mice ! i put a combo in but have no clue about the performance.
but on the rest of the build. it will do exactly what you require . with a 144hz freesync monitor paired up with an amd rx 580 to remove the annoyance of screen tearing.
As hellfire as stated below there is no actual penalty for not activating windows 10 until a later date .
PCPartPicker part list:
https://pcpartpicker.com/list/NmqN7h
Price breakdown by merchant: https://pcpartpicker.com/list/NmqN7h/by_merchant/
CPU: Intel - Core i5-7500 3.4GHz Quad-Core Processor ($188.66 @ OutletPC)
Motherboard: Gigabyte - GA-B250M-Gaming 3 Micro ATX LGA1151 Motherboard ($69.98 @ Newegg)
Memory: Team - Dark 16GB (2 x 8GB) DDR4-2400 Memory ($107.99 @ Newegg)
Storage: Kingston - HyperX Fury 240GB 2.5" Solid State Drive ($80.99 @ Amazon)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.45 @ OutletPC)
Video Card: Gigabyte - Radeon RX 580 4GB Gaming 4G Video Card ($188.99 @ SuperBiiz)
Case: NZXT - S340 (Black/Red) ATX Mid Tower Case ($61.99 @ Newegg)
Power Supply: Corsair - CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($39.99 @ Newegg)
Monitor: AOC - G2460PF 24.0" 1920x1080 144Hz Monitor ($204.96 @ Amazon)
Keyboard: Cooler Master - Devastator II Wired Gaming Keyboard w/Optical Mouse ($29.99 @ Newegg)
Total: $1020.99
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-05-07 03:06 EDT-0400