It's been theorized that the real Leonardo da Vinci was gay or asexual. That Leo Took a Level in Jerkass from the moment Thena joins them can be explained by his discomfort at having to deal with a woman for more than a few minutes.
In one scene, Baydool asks Tee his name in English, then in French, Spanish, and German... but he seems to wait several hours in between each time. The first time he asks it's early daylight and the last time it's dark out. Why would he do that?
How do we know he didn't spend all day trying out different languages?
After Tee decides The World Is Not Ready for Archimedes' secrets, they ride off, presumably leaving the location of the library lost. So what exactly would stop Thena from coming back with a bunch of her brother's men and digging the library out? It's not like Tee made her promise to leave it or anything.