So C14 is Verified at many points by Tree Rings.
Something even kweationists have a hard time denying.
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Apparently you are not aware that trees can sometimes produce more than one ring per year.
Tree Ring Formation
Trees feature two types of growth; primary and secondary. Primary growth takes place at the tips of stems and roots and results in the tree growing taller. Secondary growth occurs in the cork cambium and vascular cambium, resulting in the trunk's diameter increasing. Trees also contain xylem which is the vascular tissue of the tree through which most minerals and water are conducted. Then there is the phloem, or outer layer of the tree. The rings of a tree are the result of new growth occurring in the vascular cambium.
To figure out a tree's age, many factors need to be considered including temperature, age of the tree, precipitation, slope, and other growth factors. Some trees can produce false, or extra rings in a year. For scientists to develop a master tree ring dating system, all of the above factors need to be taken into account.
Now, consider that if God created everything about 5,000 years ago, He would have created adult trees, because there was a garden from the beginning. Wouldn't that give a false age by counting rings?