DO NOT RESTART.
First, you said you don't want to, and this is a game: if you're doing things you don't want to you better be getting paid for them.
Second, the only advantage in starting over is that you'll be reseeded in a new Fleet shard, but you haven't been assigned a fleet shard, so you won't have to compete with people who have been building up their ships over years.
Now, you will start slightly behind on collecting ships, but you'll start a bit ahead in terms of your level and thus when you can begin farming crucial ships (like Hound's Tooth). Overall you're in a fine place to start.
If you think you want to try playing the game again, just boot it up and go from here.