One problem that new computer languages should solve is ease of maintenance. It's too hard to maintain code over a long period.
Also, new programing languages need to solve how hard it is to code for multi processors. The number of cpus in a chip keep on increasing but there is no easy way to create software that uses them easily.
Another one I can think of is how to automate AI projects. I don't think that general AI is around the corner but the creation of AIs that solve specific problems will increase over the next few years. We need programming languages that will let programmer incorporate the many AIs to solve a bigger problem.