Are the four noble truths supposed to be applied to every type of anguish separately?
To answer your question, 'yes', dhamma practise is done in ways you described. 

When it is comprehended our suffering arises from our self-centred desires &amp; attachments towards things, we work to change those unhealthy desires, views &amp; habitual reactions (which arise in many forms &amp; are summarised as greed, hatred &amp; delusion). 

This is called 'Right Effort', which is the effort to prevent &amp; give up unhealthly &amp; unwise states of mind and the effort to develop &amp; maintain healthy &amp; wise states of mind. 

This 'Right Effort', particularly in the social situations you described, often is about changing the way we think about &amp; view things and often requires the creative &amp; thoughtful efforts shown in your post. In Buddhism, this creative thinking for developing solutions is called 'wise reflection' ('yoniso manasikara'). The purpose of it is to change to a kind of thinking that does not produce greed, hatred, anger, confusion &amp; suffering.

The Buddhist scriptures provide an example of this in the discourse on Two Sorts of Thinking