Hi there, longtime guardian main here. Speaking from a semi-casual PvE perspective, here are my thoughts.
First off, I was really hoping pistols would be viable for both power and condition builds. Either that, or please completely rework scepter and longbow to not be clunky and actually feel good to play. Seriously, I've been waiting for a scepter overhaul since I was in college a decade ago...I've been through four jobs now, but my favorite weapon thematically is still the same garbage mechanically it was from the beginning.
That being said, here's my feedback on the weapons in their current state:
Skill #1 [Through the Heart]: I agree with previous comments that this skill doesn't feel impactful enough. It needs to either be reworked into a chain skill or given some other added effect to make it feel less bland. The name also isn't really to my taste. Lastly, I noticed the projectile seems to fire above the target's head sometimes depending on the enemy. This happened with training golems, for instance, but it seemed fine on enemies in the open world.
Skill #2 [Peacekeeper]: This one feels pretty good. No real notes here, other than I like the name. Great job, team!
Skill #3 [Symbol of Ignition]: The symbol should be created beneath the target, not the guardian. Otherwise, what's the point of being at range? The combo field should also be fire instead of light; it's more thematically appropriate given the skill's name and function (and honestly more useful, too).
Skill #4 [Hail of Justice]: This one also feels pretty good. My hot take, though, is that it should be moved to slot #2, and the other skills should be scooted down. This skill makes for a good opener with it causing cripple, so it feels more "right" to have it further left on the bar. Then once you've ensured the enemy is at bay, you'd go about laying down the rest of your damaging skills. That might just be a personal preference, though.
Skill #5 [Jurisdiction]: Again, I'm in agreement with most of the previous comments. The only good thing about this skill is its cool name. Everything else needs to be completely reworked. The casting time is way too long to justify the weak reward of charging it all the way. The ball of flame should automatically explode on the target instead of needing to be manually triggered, and it should be a blast finisher. The tooltip is also way too long and needs to be consolidated; make the skill effects consistent across all charge levels, but with scaling intensity at higher levels. Maybe a little something extra as a bonus if charged to the maximum level. The visual size of the explosion should also scale with the charge level.
As a couple final notes, please remove the glass shattering sound effect that sometimes plays with some of the skills. It's jarring enough that I already know I'd be instantly irritated if I used these weapons regularly. And lastly, this is really more of a side request in regard to beta characters overall: can we please get Total Makeover Kits? We already get Transmutation Charges, so I don't see the harm in this. Or maybe I'm just the only weird one who likes to make my test characters look like my regular characters so I can get in the zone a little more.
Looking forward to seeing how all the player feedback is used to improve the new weapons!