Can a 13 year old kid take the tour? What are the tours hours?

Yes.

Tours run daily except Sundays. Here's a post I wrote about Yuengling Brewery tours that you might find useful https://tonyflorida.com/yuengling-brewery-tours/

Yes, and guides are great with kids

Yes children can take the tour.

I think so. They have root beer at tasting room for after. I recamend calling Brewery or check site for times.