Can I pursue different investment solutions or do I have to commit to one of the 5?

Yes, you can choose a different investment solution for each of your investment goals. From a strategic point of view, it may even make sense for you to choose different risk profiles for different investment goals and different investment horizons.
Please note, however, that for each investment goal you must pay in at least CHF 500 for your money to be invested, and the minimum amount of CHF 5000 applies to the choice of your own investment solution.