iTunes Connect is for people looking to create paid-for content such as songs or books, so you're in the wrong place.
Start by going to the iTunes Store and making sure that you are signed in, that you have registered a payment method (although podcasting is free), and that the device you are using is authroised to play iTunes content.
Then go to https://podcastsconnect.apple.com and sign in. This should take you to the page for submitting podcasts - click the '+' sign at top left. Sometimes people have found themselves dumped into iTunes Connect (the sign-in page leads there but it's supposed to redirect to Podcasts Connect immediately, however sometimes it doesn't).
If you can't get through to Podcasts Connect, leave it a bit then try again. If it's persistent, contact Support. Go to https://itunespartner.apple.com/en/podcasts/overview and click the 'Contact Us' link at the bottom of the page.
The submission process is described in detail here: http://wilmut.uk/submit