Rather than that promised Paradise being too good to be true, the present sorrowful state is too bad to continue. Paradise will replace it. Faith in these promises is not a matter of credulity. Faith follows the thing heard. By studying God's Word, its wisdom becomes apparent and faith grows.
Biblical archaeology confirms much of the Bible's historical accuracy.
True science harmonizes with the Bible. The inspiration of the Bible is shown by fulfilled prophecies. Daniel foretold in advance the rise and the fall of world powers, as well as the time when the Messiah would come and be put to death. You must study the Bible and meditate on it, at the same time asking for God's spirit to direct you. Also, there are Bible study aids worth consulting.