While my experience with HP's repair was not so good I hope they have fixed that part of the company by now.
As to data recovery that may be simple. Put the laptop HDD into some USB case and copy your photos and videos out to your next PC and to backups.
My laptop doesn't want to come on i only had it for about 6 months i have the HP Probook at first it would come on and the screen would be blank but the fan would be really loud. Now when you press the power button it just keeps blinking and the charger light blinks as well while the charger is pluged in please someone help all my photos and videos of my kids are on it