Of course? Why shouldn't we? Critical thinking is an extremely important part of progress, and if there is a God with omnipotence, he especially should be held to questioning.

I think it depends on what you mean by question. If you're intention is doubt then I would say no. If your intention is honest understanding then I would say yes

Of course it is. The Bible should not get in the way of what you believe is right and wrong.

Many Christians support homosexuality now for example. That's questioning and going against God.

If the Bible said "and God said, all whom have the username FromWithin shall kill themselves", would FromWithin do so? I think not.

The Bible tells us to question the people who claim that they are profits. But once you do know that it is coming from God, then don't question if it is right, but you can study it and see all of the angles of it. You can ask questions about it but not if it is true.

The Psalmist in the Bible questioned God. If you don't, you are not being honest with God. If you have a problem, tell him. Holding it in is harmful and pointless and leads to no response or answers.

We as humans have rights to do anything. Is there really someone that powerful? If so then why is he making the world into something nasty and horrible. Why would he make his children suffer? Why do bad things happen to good people? It doesn't make any sense, so yes, it is okay to question god.

Most religious leaders use fear and intimidation in order for the followers to submit. Question god and question everything.