Hi,
I suppose ">1" means "not empty"
Also, condition 5 is not quite clear. I suppose it means if {Source of Breach} is anything else (not empty) then resolved.
I wonder why did you set {Source of Breach} to be multiple select? Do you understand that if you put, for example both "Notice of Agreement" and "Avoidable Loss" in value,.
IF({Source of Breach}="Avoidable Loss" will not work and IF({Source of Breach}="Notice of Agreement" will not work too.
If you expect {Source of Breach} to have only one value you can do it Single-select. And if it can have multiple values, to check whether value exists or not, you should check it as
IF(FIND(Value,{Source of Breach}) , true.. , false)

To check whether date exists or the cell is empty, do a simple IF({Field}, .....
About your formula, it written in a wrong way. Typical IF should be
IF( condition , output_when_true , output_when_false ) - third parameter could be omitted
for several IFs it could be nested
IF( condition , output_when_true ,
IF( condition2 , output_when_true ,
IF( condition3 , output_when_true , output_when_false ) ) )
You are wrote
IF( condition , output_when_true , output_when_false,
IF (condition2, .....)
that's not correct
anyway, I would use switch for you case.
two last lines means ' If SOB empty, then 'Pending' , if anything else then Resolved '
SWITCH({Source of Breach},
'Avoidable Loss','N/A',
'Notice of Agreement',IF({NOA Received Date},'Resolved','Pending'),
'Repayment Overdue',IF({Resolution Date},'Resolved','Pending'),
'Ownership Transfers',IF({Resolution Date},'Resolved','Pending'),
'','Pending',
'Resolved')