You are trying to make a race-car out of a mini-van.
The Lenovo H50-55 is a low end student/office system with run by a good general purpose APU. It is not built to be expanded significantly and so, although all the parts are matched, you will start a 'domino effect' if you attempt a significant upgrade.
You want a much better GPU. The system is not intended to support it.
You get a much more powerful PSU to run the GPU. The motherboard is not intended to support it and your case an cooling is probably not intended to support the greatly increased heat either.
You replace the motherboard, but the CPU limits your GPU, so you plan to replace it.
The heat from all the components is causing throttling problems. You replace the case and get some fans. Apart from storage and RAM, where is your computer?
If you have an OEM version of the Operating System, it may be good ONLY for the motherboard it was installed on. You may need to get a new copy of the OS if you replace the motherboard.
I'd be selling off your old (new?) Lenovo and building a new gaming system from scratch, or another starting place.