Why study theology?

I am very thankful for the several years' of study in theology that I have been granted for free in Sweden. As with the study of any science, the study of theology has provided both new knowledge and the capacity to acquire further knowledge (through the learning of research methods, foundational background knowledge, etc.). 

But what is the task of theology? Alongside many other possible answers, I would answer that theology can reasonably be expected to try to answer the following questions:

(1) Does God, an all-powerful creator of all things, exist? 

(2) If God does exist, what are true descriptions of God? 

(3) If God an all-powerful creator with certain qualities (such as fairness) does exist, what are the implications for human ethics? 

Alternatively, one could focus on Christianity only and ask theology to answer this question:

(4) What claims of Christianity are true? 

Why are these reasonable expectations for theology? Firstly, any type of study needs to justify an investment of resources, such as time and money. Many types of study, for example biology and physics, justify the investments by yielding useful knowledge, for example how to develop medicines or how to build shelter and transport. The above four questions focus on the most useful knowledge that the field of theology could be expected to yield. 

But can theology answer these questions? To prove that it can, one must deliver true answers to these questions. Such work has been going on for centuries, even to the present day (for example in the work of William Lane Craig PhD, ThD). One can also reason that if God, an all-powerful creator of all things, has qualities of fairness, love, and suchlike, then God would enable human beings to answer questions (1)-(4).