These things you claim you don't have, you DON'T need. This is why reading the forums prematurely can mess you up; the people who posted these forums followed a different solution path than you. I've played TOA three times and got different items every time from picking different classes. Believe me, you have almost everything you need.

Now that you've progressed, it's time to complete your math professor's quest. There should be a store that was previously closed that is open now, where you can get one of your items fixed. From there, you should know what you can do.

After that, head off to talk to Verna and Silius again in the shack, which will start a new event. Then "fetch help."