Your top photo is all oaks. Your second photo contains the following, from top left: oak, oak, tupelo, willow, bayberry, winged sumac. There's a little sprig of something just above the sumac leaf that I can't make out.
As for your second question, that depends on your end goals. I would begin by harvesting any diseased or damaged oaks for
firewood. Large straight pines are excellent building material when sawn into lumber. Their removal allows the younger trees around them to accelerate their growth so they can serve you in the future. Especially dense stands of trees make good places to thin for firewood or lumber so more sunlight gets in for an understory population.
The addition of nut and fruit trees would be good, as well as an understory of nut or fruit-bearing shrubs, both for you and the wildlife.