Why didn't the Devil deceive Adam and Eve to eat from the Tree of Life also? And why was the Tree of Life in the garden at all? I was trying to understand why in a garden where food was abundant the two trees of greatest importance to their well-being were there for them, and no warning was given to them about the Devil and his lies. Yet they only ate from the Tree of Knowledge. It would seem they were not even interested in the Tree of Life. They could have eaten of the Tree of Life first and then the tree of knowledge. After they sinned then God thought about barring the way to the Tree of Life, why then? and why not before?

I will make some comments, but some of your questions are not easy to answer--especially the ones about why Adam and Eve or why God did something a certain way. All I can do is to make some guesses. But perhaps they will help you.

The Devil did not tempt Adam and Eve to eat of the Tree of Life because it was not prohibited. They would not have sinned if they had eaten of it. Only the Tree of Knowledge was forbidden. It was there as a way of continuing life for them in the garden. God was offering them a paradise on earth and the means by which they could continue to live forever.

As to their interest in the two trees, God specifically told them to stay away from the Tree of Knowledge of Good and Evil (Genesis 2:16-17 [16] And the LORD God commanded the man, saying, Of every tree of the garden thou mayest freely eat: [17] But of the tree of the knowledge of good and evil, thou shalt not eat of it: for in the day that thou eatest thereof thou shalt surely die.
See All...). The day that they ate of it, they would die. In truth, it was the Tree of Death, but the primary death in context was spiritual death. Spiritually, they did die the day they ate of the fruit. This later lead to spiritual death.

When they ate of the Tree of Knowledge they did so because they were tempted by the devil. Eve was deceived into thinking she was doing some wonderful thing. Very likely, they had not yet gotten to the Tree of Life because they had not been in the garden very long. For four main rivers to flow out of it (Genesis 2:10-14 [10] And a river went out of Eden to water the garden; and from thence it was parted, and became into four heads. [11] The name of the first is Pison: that is it which compasseth the whole land of Havilah, where there is gold; [12] And the gold of that land is good: there is bdellium and the onyx stone. [13] And the name of the second river is Gihon: the same is it that compasseth the whole land of Ethiopia. [14] And the name of the third river is Hiddekel: that is it which goeth toward the east of Assyria. And the fourth river is Euphrates.
See All...), it must have been a huge garden. They were allowed to explore at their own leisure. As with children (with which they compare in their innocence), it was not the tree that was allowed that was tempting; it was the tree that was prohibited.

I do not think it was dangerous for them to have the Tree of Life available to them before they had sinned. It was there for their using. I think most people assume that one bite of the fruit from the tree of life would have given them eternal life without another taste. I am not so sure. I think it might have required periodic returns to the fruit in order to continue to live forever. The tree of life in the New Jerusalem has leaves "for the healing of the nations" (Revelation 22:2In the midst of the street of it, and on either side of the river, was there the tree of life, which bare twelve manner of fruits, and yielded her fruit every month: and the leaves of the tree were for the healing of the nations.
See All...). I picture the body beginning to wear out a bit as things do in the natural world and then a trip to the tree of life would bring the person back to their original health. However, in contrast with modern medicine, the tree of life would continue to work over and over again forever in the life of everyone who came to it. It would not keep them from aging in any way, but would bring them back to a perfect state of health and youth every time it was used.