Of course, if you don't have wide toes or forefoot, Jackson boots are likely to be problematical. You could be sliding around in those boots, which could lead to serious injury.
I remember reading a report done by the U.S. Army (for soldiers, not ice skaters) that said people with different arch heights tend to get different types of injury. I assume that applies to skaters too.
To me, a moderately snug fit essentially all over is overwhelmingly the most important thing to preventing injury and avoiding pain. There are medical sources, including podiatrists who write articles specific to ice skaters, who say getting shoes or boots that match your "arch length", something most fitters don't measure, is the single most important injury prevention factor in the fit of any footwear. And they also talk a lot about injuries from boots that squeeze your toes together too much. (I think my osteo-arthritus, including bone spurs, may have been caused by that. You can also get bunions and other problems that way.) Much more important than the relative lengths of your toes - e.g. Egyptian, Roman, etc. (Though some common injuries like Hammer Toes can occur if the front of your toes gets much pressure from in front, causing them to bend.) But perhaps to a person with arches of a type or height that needs extra support, relative toe length matters a lot too - maybe even more important than arch length and snugness to such people. And so on.
My conclusion: Find a really good skate tech to use as your boot fitter. It is worth it. I know I'm repeating myself there. But if you don't know what to look for, you need someone who does. Unfortunately, that's hard. Plus, most shops only offer a very limited number of boot types, maybe 1 or 2 brands, and try to put you in what they deal with.
It depends what you mean by "refurbished". If you mean they punch (stretch) the boots out where there are creases, that probably doesn't cost much, if the damage isn't too great. Likewise for replacing a hook or adding a grommet to a torn lace hole, and maybe replacing or reinforcing a tongue. Or filling stripped screw holes used to mount blades. Laces are very cheap to replace. If you mean they remove the stitching, and replace the inner stiffening materials in the entire upper part of the boot (often called "rebuilding" the boots), that might well cost more than a new boot like the Jackson Freestyle, or equivalent. Likewise, lining the insides with a lot of extra leather, carefully feathered to avoid bumps, to make them fit you, could be expensive because it requires leathercraft expertise. And there are many things in between. I.E., you can't give a generic answer to whether refurbished boots would be a good idea. If you are talking a specific pair of boots, if it were possible to bring them to a good skate tech, BEFORE PURCHASE, they could help you decide. But fixing boots is a bit of a specialty too - some skate techs are good fitters, but are not good at that.
Be aware that there are other things in skating that cost money. Especially if you need private lessons, which you mostly do if you are going to get very good, or even if you want to join a Synchro or Production team. But even if you don't have such dreams, you need practice time at the rink, where even public sessions costs some money, and group lessons cost something too. It's not like walking to a free local basketball court, joining a group of kids who play volleyball, or going on hiking trails, or maybe playing soccer with a bunch of non-competitive kids in a local field that doesn't charge you anything to go. Low level skateboarding. Or whatever the popular sports with other kids are now. Those can often be cheaper. I'm not sure about going dancing with other kids - some clubs charge a lot for entry, and the ones that serve alcohol may not let a 15 year old in. But non-competitive street dance might be cheap, if you don't need a costume. I honestly don't know if there is still much of a social dance scene anymore.
BTW figure skating is an inefficient way for boys to meet girls. That's usually not what girls go to skating rinks to do. Though sometimes a girl who can skate drags a boyfriend who has never skated along, mostly so they can tease them.

Such girls tend to be deliberately unhelpful.