(1) flight instruction for the issue of the PPL(A) - or those parts of integrated courses at PPL(A) level - and class and type ratings for single-engine aeroplanes, excluding approval of first solo flights by day or by night and first solo navigation flights by day or by night; and
The above says that the restricted instructor can teach under supervision;
PPL(A) Licence
CPL(A) Licence Integrated Course elements at PPL level
Class Rating for single engine aeroplanes
Type Rating for single engine aeroplanes
They can not;
Approve First Solo by day or night.
Approve first solo navigation by day or night.
--------
The 1 hour dual that many pilots complete as part of the SEP Class Rating revalidation is training for a Class Rating (single engine aircraft). Therefore the restricted instructor can provide this training (under supervision) to a PPL, a CPL or even an ATPL holder that requires this training.
The club checkout is again type specific / class rating training and it matters not if the pilot being ehcked is a PPL, CPL or ATPL.