The first picture is showing black aphids. I think if I am seeing this picture clearly. Fungus are the black spots that your plant actually is cutting off from its vascular system, allowing that area with the fungus to die, blacken and get crispy then fall out of the hole. Called Shot hole.
Plants take care of themselves as long as they are healthy. As long as they are getting what they need; proper amount of light, ventilation, water (not too much not too little), great drainage and the correct amount of chemistry so the plant can make its own food via photosynthesis. That is fertilizer. Fertilizer is not plant food nor is it 'nutrients'...it is simple chemistry plants have to have to grow within our artificial gardens with our artificial needs.
Cut off the leaves with aphids. Squish the aphids with your fingers. A hard spray of water works okay. Soapy water spray works okay. Neem sprayed at night would be best. Your Kiwis will take awhile to mature and be able to produce Kiwis. Neem will not be transferred to your edible fruit now. You need to take care of the insect problem now,spray at night once and if you see more aphids, then perhaps one more spray session. Lay your potted plant on its side to spray, get beneath the leaves. The planted Kiwi, just try to spray beneath the leaves.
The dark spots will always come and go. That is the plant taking care of itself. Not a big deal at all. Your Kiwi's look a bit anemic. Have you ever given them fertilizer? Healthy plants protect themselves from disease and insects. Plants without proper chemistry for health will be susceptible to insects, disease, fungi....did you happen to purchase a female and a male Kiwi? I have never heard of a MINI Kiwi. These are vines, tough and very hardy vines once they are established. A female and a male to pollinate the female are a must.They don't even have to be the same species.
I haven't looked up the name you listed for these Kiwis. I will look them up and be back if there is anything novel about your species of Kiwis.
hardy Kiwi care