Finite Square Well

Initially, I thought that this would  be an easy problem but it turned out to be a bit more complicated than I thought. We're given k*a and can figure out kn pretty easily. Then we could just set it equal to k for a finite square well which is given in the attached information. However, this is where it started to become confusing. In the information provided k is related to Schrodinger equation outside the well and l is related to SE inside the well. To me it would make more sense to equate the given k in this problem to l given in the book. However, then I would have extra Vo term for my ground state energy. In an infinite square well there was no Vo term so I do not know if this is right or wrong. Also, I am unfamiliar with how to work these problems "backwards" so to say. Finally, for part D) we are supposed to normalize the wavefunction which is broken up into three parts which will yield a really nasty integral. The instructor said that it is allright to use a computer program but we should show which limits we are putting in. I don't have access to any software that can evaluate those integrals at the moment. Again, I included some info from the book which should hopefully be useful. So if anyone could solve this problem I would be very grateful.

PS. Please only do parts a and b