Give advice on process and free programs for video production for drone films

I am travelling budget extensively and will be filming with a Phantom 3 Avanced drone. My laptop is an Dell Inspiron medium-class laptop but with small screen with max resolution of 1366x768. I would like to do cut the movies, reduce fish-eye, reduce shaking, basic color/lightning correction, remove flickering and then edit short videos of max 20 seconds with very basic transitions. Maybe a short logo in the beginning and/or end. The video should be exported to h264 format for best possible quality to be posted on Instagram (maybe also adjusting output wxh for this), FB and Youtube. I would like to use free programs, and need someone to guide me to set this up. Problem I have is to confirm the video quality when traveling on my laptop. I have done videos using GoPro and used programs like NCH Videopad, Adobe Premiere (but just basic stuff) and GoPro Desktop so I understand the basic stuff.