Do all paths lead to God?
A person can find God from very different starting points if they search sincerely. What brings them to the goal, however, is not their own achievement but God's help, which leads them onto the path that truly reaches Him.
People begin their search for God in very different places. One grows up in a church, another in a mosque, a third without any religion at all. The first verse above speaks of God's ways in the plural. God, then, cannot be reached from only one starting point.
But it does not follow that every path leads to the goal by itself. What matters is the sincerity of the seeker. Someone who truly seeks God, and not merely confirmation of what they already think, may find that their path leads to God. Someone who only follows their habits can stand still on any path.
Just as important is who does the guiding. No one reaches God through their own effort alone. It depends on God's help. Whoever sincerely reaches for God's hand will be taken by the hand. Then God Himself makes sure that this person arrives on the path that truly leads to Him.
The second verse above shows what God looks at. What counts is not the name of a group, but whether a person truly believes in God and the Last Day and does good. So the answer is an honest yes with a condition. Many paths can be a beginning. God brings to the goal whoever sincerely seeks Him.