If you're unable to see the More button in your journal entry screen, let's try accessing your QBO account via a private/incognito window to check if this is a web browser-related issue. Sometimes stored cache for a long period can affect the views and performance in QBO.
To start, you may use these keyboard shortcuts in opening a private/incognito window:
Google Chrome: Ctrl + Shift + N
Internet Explorer: Ctrl + Shift + P
Mozilla Firefox: Ctrl + Shift + P
Safari: Command + Option + P
If you're able to view the More button in your journal entry screen while in a private/incognito window, then I suggest clearing your regular browser cache. This way, it'll optimize your regular browser's performance and prevents unusual behavior to occur from your browser.
If the issue persists, I suggest using another supported browser.