Is there a way in Sublime Text to display find results in a panel at the bottom of the current window?

I had the same question as you and solved it with anazimok's comment in the link below.

https://stackoverflow.com/questions/15929527/search-results-panel-for-sublimetext-2:

You could use Find All and then Cmd+F2 to set bookmarks.

The Find Result Panel is for Find In Files. Cmd+Shift+F uncheck "Use Buffer" option and you would see the Find Result Panel.

I'm having the same problem with Sublime.

Ctrl + F will only display one result at a time, and you need to hit enter to get the next result

Combination of Ctrl + Shift + F is the right answer.

A new tab will open with the all search result just like notepad++