Which essential oils are anti-fungal anti-septic and anti-bacterial?

basil

bergamot

clary sage

clove

eucalyptus

fennel

lavender

lemon

pine needle

rosemary

Spanish sage

tea tree

thyme

All of these are good for any kind of virus or infection. Tea tree is the best antiseptic oil.

Lavender is a good all-purpose oil and can be put directly on the skin without diluting it (tea tree is the only other oil on this list it's safe to do that with). A dozen drops of lavender oil in a good, emmolient carrier oil, like sweet almond, also works wonders on sunburn; it reduces pain and itching, speeds healing and reduces flaking.

If you need something with stronger antiseptic properties (lavender works well on scrapes and small cuts), infuse clean marigold petals in hot water, let cool, and then apply to the injured area as a moist compress.