Belief in God is rational. Everything has a cause. So unless there is a first cause, then you would have an infinite regress. And then nothing could exist. Therefore there must be a first cause. Therefore God, the first cause, exists. QED.
10.1.22
To see hints in things is an important principle. In the LeM of Rav Nahman it is brought that God minimizes Himself to send hints to a person in things that happen to him. This might be applied wrongly, but it is a an important that can show one what he is doing wrong. You might notice, for example, that things are not going as well for you as you had thought. This is because in the very things that are going wrong, there is hidden a message. Perhaps to cease and desist doing something you thought was a great mitzvah?