Time Series Continuous Classification
With only 5 samples per class you probably should not be using any Neural Network. If you can find a way to summarize your long time-series into a couple of numerical features, then you can try with a simple Logistic Regression model. Exploring the data is the key here, as well as understanding the problem domain. What is the physics of the process for example, or how would experts describe the requirements to get a particular score.

Even so I would try to collect some 10x more data.