Can I redirect to different page automatically after Thank You

as stated, I need the form to do both the thank you and the redirect -- not one or the other --

The following guide will help you show a custom thank you page and redirect to page after submission Create-a-Custom-Thank-you-page-with-Auto-redirect 

Do let us know if you need further assistance.

honestly, if this doesn't all happen in Jotform, it is not really useful to
my situation -- I should be able to easily do both these things in your
program --
...

Thank you for getting back to us!

Unfortunately, we dot not have such direct feature yet. But, I will submit a request to our developers on your behalf. Once this option gets available, we will notify you via this thread.