Bacteria often form biofilms and similar tricks to defeat antibiotics and antivirals. The supplements to address these are:
Like some of the anticoagulants, they can increase die-off herxing because they allow more bacteria to be killed. Some others are:
- Ginger 
- Andrographis paniculata  – available from specialist online herbals
- Horseradish 
- Garlic – increases histamines so be careful
- Haritaki 
These should be taken with antivirals/antibiotic herbs and spices.