As a ~900 Elo player, I feel like point #3 is doing the heavy lifting here—kinda reminds me of that "rest of the owl" meme (not that you're wrong, of course!) :-P
At least, as someone not even 900, closing an endgame when I'm already winning sounds like the easier part. But it's hard to believe that's all it takes to get to 1500, it is not my impression that 1300+ players are losing to big "whoops" moments.
Without any tactics "take free pieces" probably only gets you to around 1200 (chess.com), but if it includes knight and pawn forks, skewers, pins, and discovered attacks it can get you to 1500. Playing perfectly every game is hard though. I would recommend having more chess knowledge than just those 3 rules before you really try for 1500.