uncleshelby's beginner study plan

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Starting Chess.com ratings:
Rapid: 878
Bullet: 1311 (across 2 games, I expect this to drop)
Blitz: 777
Puzzle: 1804

I've been playing chess for years but never seriously tried to improve except for one year that I participated in my high school's chess club. We did one tournament, at which I went 2-3. I started playing again recently and was doing pretty well for a while, but my rating has dropped about 180 over the past couple of months. I think I was playing much more carefully when I started playing again, but I've gotten careless. I'd like to get back to that point first, then get better!