I am in a similar situation ten 100+ cM matches of which three are known and in my tree.
I would double check the persons tree for missing parental and grandparent siblings before continuing, if elderly relative are alive talk to them to see if they are aware of children being given up for adoption etc.
I used the Leeds method like you using a spreadsheet to colour code and narrow down my shared matches to to give a better picture of which side was the most likely.
The 570 cM has a high probability in DNA Painter that they are most likely to be a 1/2 first Cousin.
Persons 4 & 5 could be 1/2 first Cousins once removed or 2nd Cousins.
First thought is that there is a NPE (none parental event, parent unknown or certificates incorrectly documented by the person registering the event). In these cases it is difficult to be totally certain, but all is not lost.
Having more Cousins tested will help especially if one of their parents was born in a geographically remote location compared to the other parent (this is the stage I am at).
Trees for each match should resolve by Great Great Grandparent level relative to your host person but they may resolve to each other further back.
I would upload the Raw DNA Data to Gedmatch and to the other comparison sites where you may be lucky in finding others with more knowledge of your matches, I have successfully used this and am in contact with three matches who are related to my high cM match.
Gedmatch has tools available to dig down into the DNA and this can help in narrowing down the likely source of the NPE. I am still learning this so cannot advise in more detail.
If the Cousins who are known and agree to be tested then their Raw DMA Data can be uploaded to Gedmatch and the Triangulation tool can help.
First action would be to park further research, and get Cousins tested and uploaded and resolve the actual relationships within the family. Once resolved you will have a better idea of which branch is most likely to yield results.