How do I show the "Up Next" queue on the iOS 11 Podcasts app?
The iPhone SE doesn't have 3D Touch so there is definitely a different step for you. If you go to the Now Playing screen, swipe up and you'll see the Up Next section. To add next podcasts, you'll need to tap on the menu button from the episodes detail view and then select Play Next. That should now show on your up next screen on Now Playing.

http://www.iphonehacks.com/2017/09/how-to-use-ios-11-podcasts-app-iphone-ipad.html

https://support.apple.com/en-ph/HT201859