So far what I've found is hydrogen peroxide is the easiest thing on your plant to use and still kill fungi. I have used it for fungi problems and it does work on a couple things so far but I haven't tested it on bugs so I have no ideal if it kills any insects. I have tested it in a small pond with minnows and algae and it will definitely kill the algae and minnows at a high enough strength.
What I do is test different strengths of H2O2 on different fungal problems I have around here and note its effect. Not an exact science but it has saved a few plants for me at the right concentration. The bad thing is the fungi affected parts never rejuvinate, as in the leaves still looks badly eaten up, but the rest of the plant can be saved, if it works.
I dont see any fungus on your plant. What strength of hydrogen peroxide did you use?