Need help finding some jump holes

Grid Coordinates F3 - center

You are on a mission atm (Fly to Orillion) and that jumphole is probably not available now. You are not that far in the storyline, yet.

Yes like Silverfox said, you are currently probably in a campaign, finish it completely, and then explore. I guarantee you that you will find what you are looking for

Well there is always a way Sigma-13 always has the good stuff in there, or maybe Omicron Gamma fighting against Nomads. Personally, I can't tell you, the choice is yours

Well the best guns you can buy are the Gatling's, Earth has good stuff to, but the best guns are in the Inner Core, that is, if you can survive to escape with them.

The Utopia Jump Hole appears in mission 22: Crossfire Chapter 4.
Before this, the best weapons available are Nomad guns, and some MK2 guns from wrecks in the systems around X-3043, which you can loot after Mission 22: Crossfire Chapter 4. Launching from freeport 9, ignore the mission and go where ever you want. After that, just go to your last mission waypoint.
If you really want Ancient guns, you can go and get them at this point.
However, one mission later, when you reach Sol, you'll find much better guns for sale there.

edit: I just went to Dervon before Lost paradise, never been so easy to kill nomad bombers