You can view the program mode – it’s called Exposure Program. That field in EXIF is documented as having the following values (this information is from ExifTool)
0 = Not defined
1 = Manual
2 = Normal program
3 = Aperture priority
4 = Shutter priority
5 = Creative program (biased toward depth of field)
6 = Action program (biased toward fast shutter speed)
7 = Portrait mode (for closeup photos with the background out of focus)
8 = Landscape mode (for landscape photos with the background in focus)
I have tested some images shot with Shutter and Aperture priority and the value is reported correctly. You will see “Normal” or “Landscape” sometimes because that’s the official term, not to be confused with Orientation, which might also be Landscape (or Portrait).
There is also something called Exposure Mode, which the app does not currently report, but will in the next update. That has these values: (unfortunately, today the main site for looking at EXIF specifications is down).
Default = none
0 = Auto exposure
1 = Manual exposure
2 = Auto bracket
Other = reserved
What you see in ExifTool may be different – they are mapping them to different strings – where they get them, I don’t know. For example, I see Program AE in ExifTool, but the value is actually “Normal”
The heart indicates an “exif favorite”. You can use that to reduce the number of items that you see when you hit the EXIF button. That is a different metadata set from the one that appears when you hit Info. That is because a) ExifTool does not run on iOS and b) it is very slow to retrieve data from ExifTool, so I do split the two up.