Not Japanese origin - Chinese. And I'm not the one who's screwed. She is. First, Stryker will call Frost and alert him that Jade's still going after the girl, and in numbers, and to check for possible leaks. Second, he will pack his things, and move away to heal his wounds.
Then Stryker will send Spirits after Jade, turning her life into a living hell... Mostly Watchers that will harass her everywhere she goes, if that's not behind a magical barrier. Most of their assault will be verbal, and such, but the two Watchers will be accompanied by a third, that will keep it's distance and rely any moment of weakness to a Spirit of Man, that will use his Accident power on her... Oh, and he will not pay them anything. If the link he has to the sword will be severed, it's owner will receive visits from a Guardian Spirit that will beat the living shit out of him, if he can, or a Spirit of Man, that will hurt him in a more indirect way, if that person cannot be beaten easily. And the sword would be then returned to Stryker by the spirit if possible, or hidden away if not.
From time to time he will give her a moment of rest, spending some time on research and astral lookout through the Watcher spirits, looking for the two that ambushed him, and those that administered the beating. If found, the amount of harassment on Jade will be lowered to only one Watcher. The other will be shadowing her, and the third will watch the other culprit(s) in the same way, but silently, reporting to the Spirit of Man. As for the caster, he will be only under surveillance that won't trigger any alerts, until he's vulnerable - then a Guardian spirit will be sent to beat the living crap out of him...
Stryker will just switch hideouts, fend off squatters, and such, and summon spirits. Nothing else beyond keeping in shape, and making them suffer, as long as he can. If they send someone - or something - after him, he will fight. Run if needed, to fight another day. Oh, and he will send info on Jade to various matrix joints Shadowrunners and law enforcement frequently visit, if he can - though most of the time his commlink is of, and he's in a static zone.
But at any time the well-being of a spirit won't be risked for his revenge.
You might find that unacceptable, but he will do that. And the Spirits won't be unfavorable to his goals, since he will do exactly what they did - extract his vengeance through proxies, but still more honorable and worthy ones...
P.S. As for the sword, I didn't have it with me, and it wasn't nowhere they could easily find it, but hell, whatever.
P.P.S. The first hit Stryker gets, and every one after that if he can, will be met with a F4 Manabolt, through the sensory link they establish while hitting him.