During his lifetime, Jesus himself didn't call himself God and didn't consider himself God, and ... none of his disciples had any inkling at all that he was God. You do find Jesus calling himself God in the Gospel of John, or the last Gospel.

Is it okay to question God?

“Don't question God, just trust Him.” ... As they say – there's nothing wrong with God's Word. The problem lies in how we sometimes hear and understand it.

How many times did Jesus ask questions?

In the Gospels Jesus asks many more questions than he answers. To be precise, Jesus asks 307 questions. He is asked 183 of which he only answers 3. Asking questions was central to Jesus' life and teachings.