Very well said! I totally agree with all your points! :TWelcome to HTS! :wave:
You should answer a couple honest questions before we can help you the best. 1) Are you limited to using the drivers that you were given? 2) Is your goal a functioning first DIY speaker project, or is your goal to put a lot of time and work into making something that sounds superb?
For a DIY speaker system you need to have not only T/S parameters of the woofer, but also full range frequency response and impedance data for the drivers that you are wanting to use. Designing a crossover at the very least takes several hours of simulation and tweaking, and that's if you happen to have a set of drivers that play nice. If you answer no to question 1 and agree with the first option of question 2, it is still possible to continue onward and make a speaker system with what you have.