When is a good time to fertilize trees to help during cold winter?
Part of the question depends on what type of trees you're talking about.  Shade/landscape trees don't require much in the way of fertilizing; in fact, fertilizing, especially late in the year, is a very bad idea.  This article will tell you more:  https://www.gardeningknowhow.com/ornamental/trees/tgen/dry-brittle-tree-branches.htm
Here are a couple of articles that might give you some more ideas for winter preparation:  https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/fall-gardening-tips.htm
https://www.gardeningknowhow.com/garden-how-to/info/late-winter-gardening-tips.htm
I have been given a liquid fertilizer called Algoflash all purpose and it has a NPK of 666 on the bottle. They say use it on all plants every time you water. Is this right? I grow veggies and herbs, but this sounds fishy to me.
Yes, as far as I know this fertilizer is good for just about any plant, including edibles, and safe to use. As with any fertilizer product, be sure to follow label instructions carefully to obtain the greatest results.
I am growing in a organic soilless mix and have a question about feeding. I am adding a flower enhancer the last weeks in bloom and this particular enhancer is mostly boron, 4%, derived from boric acid. I adjust my nutrient mix ph to 6.35 when feeding or watering. Boron has a much more acidic availability "sweet zone" at 5-5.5. Can I lower my ph for this specific additive when feeding or will that make a difference since the soilless mix acts as a buffer and is right around 6.5 ph? Please advise, thank you!
Lowering the pH for the nutrient mix would be the only way you would have of lowering pH for your plants, since you can't change the pH of your mix. I would suggest you might consult with the maker of your flower enhancer to see what kind of research they have that might better answer your question.
I have heard that adding eggshells and coffee grounds to garden soil in beneficial. If so, please let me know what the benefits are. Also, would I need to crush the shells or will they disintegrate naturally? Thank you.
Yes, they are very good for the garden. This article will have more information on coffee grounds:
https://www.gardeningknowhow.com/composting/ingredients/coffee-grounds-gardening.htm
Eggshells are beneficial because they add calcium, which is particularly good in vegetable gardens, as it helps to prevent blossom end rot. You do not need to break them up, but they will compost faster if they are broken up. You can also compost them. Here is more info: https://www.gardeningknowhow.com/composting/ingredients/eggshells-in-the-garden.htm
What additives should I apply to my garden when I till in the fall?
Compost and composted manure are always good. Beyond that, I would have your soil tested at your local extension service. This will tell you what the soil needs and then you can determine what additives you need to fill that need.
I want to know what will be the dose of 13:13:13 (npk) liquid fertilizer as ml/lit water, if I applied one time/ha. (recommended dose same i.e. 13-13-13).
Nutrient amounts are technically figured in pounds. If you're trying to figure out how much fertilizer to apply to a given area, you need to consider the size of the area, the concentration of the fertilizer, and the type of plants. I might add that determining lbs per acre, or even sq ft, is usually more important in agriculture than home gardening. Most people just use fertilizer as recommended on package, sprinkling or pouring around each plant. https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/fertilizer-numbers-npk.htm
I am working on project design & development of nursery fertilizer. I read in one of the papers that cow dung, sand & soil are the ingredients. If this is so, then what is the role of sand here? What should be the proportion of these ingredients in the mix?
Sand is usually used for drainage. This sounds like a recipe for potting mix or planting soil rather than fertilizer. It's impossible to comment on the proportions without knowing more about the composition of the "soil" component, and the condition of the cow dung, i.e whether it is fresh, dried, or composted.