Most Vit E supplements are DL-alpha-tocopherol on its own. Its only effective against certain free radicals, this is also mot widely appreciated. High doses of Alpha tocepherol can lower levels of gamma tocopherols in the body. So to have a full range, take mixed tocopherols and a good branded one.
Zinc wise take, supplement wise no more than about 60 mg a day, I must take about 25mg I think. Absorption depends on the type, amino acid chelate will be better than the mineral on its own (especially Zinc with a Calcium binder like DCP that quite crap).
Zinc overdoses cause dehydration and increased HgbA1C. Other issues are Iron metabolism and also copper metabolism issues, but this really at pretty high doses and stems from thinks like environmental pollution rather than eating zinc tablets for fun. Antibiotics increase zinc depletion in urine and of course its a constituent of Semen.
The tea debate goes on, I'd drink both so you don't miss anything. Both are high in methylxanthines though, black tera contains a little more theophylline which was used as an asthma palliative.
You can buy tea blends a mix of both that mix well with milk. In general, tea catechins are potent free radical scavengers and have also demonstrated anticarcinogenic, anti-inflammatory, antiatherogenic, and antimicrobial activity.
The liver contains the largest pools of Glutathione, this is made up of glycine, cysteine and glutamine. If the liver is not up to speed you can see a vast constellation of associated problems. Depletion of Glutathione causes all kinds of problems. When Glutathione levels are low, sometimes NAC is used, N-Acetyl Cysteine helps in Glutathione synthesis. I've been deliberately vague here, but the liver and its functions are paramount with immune function plus a host of other things. Taking NAC is worthwhile by the way if you can find it. NAC might make you deplete more zinc though, and allegeedly it helps the body deal with acetaminophen which is in some pain killers.