How to get value for AQI on apple watch

The temperature shown does come from the Weather App. Small bits of data on the watch face are known as complications.

Tapping the temperature on the watch face will open the Weather app thus revealing the source of the data. The watch gets the data from your iPhone which, in turn, uses location and data from the Internet. You may find more useful information in the Apple Watch User Guide.

This is a watchOS 2 Bug

The issue as described is basically that old, previously read/dismissed messages in a conversation continue to show up when new messages arrive (zombie messages) long after they were initially received and were marked as read.

The fix described here is to delete the offending conversation on Apple Watch. Once this has been done, notifications for conversations with that contact will begin to function normally.

Doing this will not delete the conversation from any other device so you don't have to worry about losing your conversation, so even though it seems destructive, this is a non-destructive fix in that sense.

Note: the next time a notification for that same contact is received by the watch, the deleted conversation will be restored and viewable from the watch. Prior to that the conversation will not be present within the watch's Messages app's conversations list.