On the one hand, given enough time, probably nobody will be "remembered" in a conventional sense.
On the other hand, your existence will always have an impact. Everything you do affects the universe and none of that can ever really be "undone". It might be a small amount, but it's effectively impossible to not affect the universe.
Now if you want the REAL "nothing you do is ever going to matter" mindfuck: if you believe in a mechanistic universe (meaning a deterministic universe), your choices are illusions. When you "choose" something, you're just doing the only thing you can do, because the atoms that constitute your body behave mechanistically, giving rise to mechanistic biology. When you say "Well, I could have chosen to walk through that door instead a few minutes ago", you're not making a choice in the way we tend to think. If you went back and all of the conditions, external to you and internal to you, were the same, of course you'd go through the same door. So then, does it "not matter" what you choose because there are no "choices" in the conventional sense? Can we even ask that question given that you behave mechanistically and have no option to not make "choices" of this sort?