WPQ,
The ability to add tags on tiddlers is in someways a simple extra option. It is not really for more sophisticated use. You could use it while creating a dozen new tiddlers manually all of which you want to have the same tag(s)
The thing is the tags you add on the Control Panel info panel are added to $:/config/NewTiddler/Tags and this is the source of tags when using the new tiddler button.
If you generate your automatic tags and tag $:/config/NewTiddler/Tags with those, subsequent use of the new tiddler button will add them. However to do something automatic you may need to use startup actions, perhaps via the startup actions plugin which is more advanced https://ooktech.com/jed/ExampleWikis/StartupActions/
However, I think there is a much better approach especially with dates and time. Firstly as you create a tiddler NOW it gets a created date automatically. From this created date you can always calculate what the day of week, week number is, even 24hour time of day you could use to determine its morning and much more (use the ViewWidget date format and template), is so no need to waste a tag on it. If the created or modified dates are not what you want you can always get your new tiddlers stamped or selected with another home made date field.
The new tiddler and New Journal buttons are there for new comers, but when you start making custom tiddlers and want to automate things learn about creating a button or cloning an existing button, and adding additional actions for additional outcomes like tagging, creating fields and a lot more, such as using a template according to context.
Then the next step is to learn how to use the list widget to to get a date field and use it for selecting what to display. For example the days operator allows you to all tiddlers in a date range by any date field.
We can help you learn all of the above, and plugins and macro's become available to do this kind of thing every day.
Your could say people build so many things with tiddlywiki, there are plenty of wheels around, so you do not have to reinvent the wheel very often, just work out what you want you vehicle to do.
Regards
Tony