Viewing pictures in organizer events in chronological order

As Michel says, you need to use the Sort by: Oldest option:

But over time, this will force you to perform a lot of scrolling to get to your most recent photos in chronological order.  When this happens, you can use the Home and End keys to move to the top and bottom of the grid.

Added:  I have never really used the Events tab in the Organizer and had not noticed before that the sort order of Events apparently can't be changed.  For this reason, you may want to use Albums to organize your images.  The sort order of Albums can be totally customized.  Alternatively, use keyword tags e.g. Alaska Cruise.  When you select the tagged images in the keyword tags panel, they will be sorted in the grid according to the Sort by order.

Then choose the 'oldest' order in the 'Sort by' dropdown menu on the third line of the Organizer and don't use the additional preference which most users prefer.

Take the time to check how that works in all views of the organizer, particularly when browsing albums. You can always choose between newest (by far preferred for new contents), oldest (preferred for looking within an event, an album or a simple selection), by name or useful but often overlooked, by import batch. The additional preference fits my two linear views: linear newest for reviewing most dates, linear oldest within a selection, an album or an event.

By the way I have never understood why Adobe introduced the special 'Events' tab, the older Events category in the normal keywords hierarchy was simple enough.