I'd leave your old songs up just to see how much new tools helps you improve. Just keep in mind that the tools don't make the songs good, the producer does. Limitations can affect creativity though, so I have hope that your new songs will be better than what you've been making so far. I know I've been kind of negative and harsh, and that's because I have a habit of judging people like professionals would be judged. I find that people get better if they get criticism. They improve to the level they're being criticized for not being, and I guess that's my intention. I can hear your potential, so I'm trying to help you do the best that you can. That aside, I'm excited to hear your new songs!
Troisnyx
It's up to you, but bear in mind that if you decide to keep your old songs, people will be inspired by how far you've come, from your old work to your new stuff.
Go look at user @matt-likes-swords for example. He is the creator of the Epic Battle Fantasy series. Impressed? Now go to his movies, scroll all the way down.....
...Yeah. He started with THAT. That should be a powerful enough reminder that anyone can make it, if they try. And you could be helping another musician who was once in your position, to make better stuff and see why.