I have been using the App Game Kit (AGK) since 2013. It's a great little development environment that is cross platform (Windows, Linux, it's, Blackberry and Android with RaspberryPi in the works). I've managed to win an Ultrabook, an All-In-One and a tablet using this engine. I thoroughly recommend it. You can get it via www.appgamekit.com
I've also used Game Guru which is a great FPS engine that enables rapid level creation. This is also from The Game Creators via www.thegamecreators.com
For screen recording I've always used the free version of Screencast-O-Matic. It has some nice features, allows 15 mins of recording, you can hide the mouse pointer and export to AVi, MP4 or GIF.