I really don't need the Date displayed as I can see it on the calendar icon but I can't see how to change it. When I looked at Date & Time I couldn't see a choice to take out the date or the PM.
In System Prefs > Date & Time > Clock I see
this, which shows the settings you want.
I'm just used to the battery icon being there and I use it to change the schedule from time to time. I also didn't see a way to make it smaller by clicking on the icon.
If you click on the icon you'll see
this dropdown. You can either get rid of the icon entirely or uncheck "Show Percentage" if the info isn't important to you.
Getting rid of date, AM/PM may enable you to restore the two icons you've removed. If you get rid of battery percentage too, you'll definitely be able to do it.