Please check if this is a bruise or necrosis ㅠㅠㅠ

I received Hyco Filler treatment in Seoul in early January of this year, and
 went to a hospital in Daegu on August 26 to receive filler and Botox treatment.
While injecting the filler, an inflammatory reaction occurred, so the doctor immediately gave me an injection to dissolve the filler.
 He said it was because of the amount of filler left in my nose from earlier this year, and that if I came back in a week, they
 would re-inject the filler with the amount left over from the injection. 
And when I returned home, the bruise on the bridge of my nose had become darker compared to the day before and is now fading again, but
 it seems to be spreading,
 the bridge of my nose is also swollen, the bruise(?) on the bridge of my nose seems to have widened a bit, and there is pus in my nose. I saw it today and it came up...
 Can necrosis occur even after receiving an injection to dissolve nose filler? The pain has gotten a little worse since last night.
 I'm so worried that I can't sleep... It's right to go to the hospital, but it's not time yet and I'm so anxious.

If it is necrosis, can I claim treatment costs from the hospital?