1). Does God work miraculous healings, such as the ones we find in the Bible, in the present day?

C. Absolutely yes, Jesus said "…he who believes in Me, the works that I do he will do also; and greater works than these he will do" (John 14:12).

2). To whom did Jesus say, "Go thy way; and as thou hast believed, [so] be it done unto thee." And his servant was healed in the selfsame hour.

A centurion (Matthew 8:13)

3). To whom did Jesus say, "Son, be of good cheer; thy sins be forgiven thee."

A man who had palsy. (Matthew 9:2)