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No, don't hold stories back unless you have a specific reason. Unless a publication specifically asks you to re-submit a specific piece at a later time (maybe they have a theme issue planned), hold...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/7391 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
No, don't hold stories back unless you have a specific reason. Unless a publication specifically asks you to re-submit a specific piece at a later time (maybe they have a theme issue planned), holding stories back makes little sense. There's no secret to getting published aside from (1) Write beautiful things (2) send the beautiful things to publications that things like the things you wrote. (i.e., send to appropriate markets and follow their submission guidelines.) The stories that you send in should be the best you're capable of at that time. Why would you hold work back unless you think it's not ready? By saving top-shelf material for later, you'll all but ensure that you're not giving your best stories a chance to be noticed. And it's expected that writers will improve over time. If you were rejected with a form letter, they may not even remember you. If you were rejected with a personalized note, it's because they want to encourage you. If you send in a better story later, and they remember you, they'd almost certainly love to see that you've improved.