No. The active/digital pen is sold separately.

The Lenovo G25-10 Monitor, model number 65FEGCC2US, has a 144Hz refresh rate.

No. The Lenovo IdeaCentre A340-22 All-In-One system, model number ships with a mechanical, 2.5-Inch, 5400RPM hard drive.

That really will depend on the requirements and compatibility of the specific game you want to play. The Lenovo IdeaPad 15.6-Inch Laptop, model number 81UT00EAUS, ships with Windows 10 S-Mode Operating System. Windows 10 S-Mode provides added security by only allowing APPs available ( and therefore certified by Microsoft) at the Microsoft Store. If you don't need the added security or you need to install APPs not available at the Microsoft Store, you can switch to standard Windows 10 Home 64-bit Operating System, at no additional cost. We recommend you check with the specific game's software publisher's web site for their compatibility with Windows 10 S-Mode 64-bit operating system and the minimum/recommended hardware requirements (Is a Graphics card required, the processor speed and the minimum required system RAM and the minimum available hard drive space) to run their program, then compare those requirements to this system's configuration.