Is it reasonable to believe that God exists and that Jesus is His Son? Indeed! Here are some apologetics for ya!
Logical Apologetics with Joel Marby.
Reasonable Faith with William Lane Craig.
7 Reasons Why God Exists and Atheism is Wrong, Micael Grenholm and Andreas Lundström
Jesus the Legend:Can we trust the Biblical account of Jesus?, Amy Orr-Ewing
Jesus and Pagan Mythology, Mary Jo Sharp
The Resurrection of Jesus, William Lane Craig
Challenging Skepticism about Miracles, Craig Keener
Testing Prayer: Science and Healing, Candy Gunther Brown
Signs, Wonders and Social Justice, Micael Grenholm