Immy is right. having youtube links is very convenient and I compliment your efforts to achieve simplicity, but in order to fully analyze and respond with detailed feedback, it would be much easier if we were able to watch the replay ourselves. also, Immy, he is Gold league.
first off, it would help if you started using a solid build order. 9 pylon 11 pylon is sort of a waste because you don't need the additional supply that early. if you're doing it for building power then you've placed the first pylon incorrectly.
second, try not to distract yourself too much from what you should really be doing. a lot of times in the replay did you needlessly observe how your units were engaging in battle.
third, attempt at making good use of your resources. a long-term consequence of the second point, you often had too much minerals that should be invested accordingly. more production facilities such as Gateways should be made if your economy can support them, and expansions can be made if your resource is high enough, also.
minor details (A.K.A. stuff you don't need to improve as much as the other 3 points): enter engagements correctly. that is, Zealots in the front and Stalkers in the back. your map-wide A-move put your Stalkers in front because they move faster, which is a reason why you lost engagements. also, don't be sneaky about expansions. although at this level of play it will work, it will be much harder to defend if attacked.