Both pictures look like they're of the exterior. The wall looks like it's brick or block construction (I'm not sure which) covered with stucco. My concern is the amount of dirt that appears under the wall, covered by exterior carpet. If this wall is simply resting on the ground, not on a foundation, there would be a high likelihood of water coming in underneath from snow melt, not to mention structural issues.
As @Isherwood mentioned, first make sure the ground is graded down and away from the building for at least 6-10 ft (2-3 m), more if possible. Also make sure the downspouts discharge several feet (a meter or two) away from the building. Check the gutters for any leaks and repair if needed.
Also look around the base of the wall for gaps in the masonry, clean away any dirt, and repair them with hydraulic cement or an epoxy made for foundation repair.
If grading around the foundation and fixing gaps doesn't fix the issue you may have to dig down 4-6 ft (1.5-2 m) around the structure and install a French drain to carry water away. That's a much larger project than can I can explain here.