Part FCL:
FCL.915.FI FI — Prerequisites
An applicant for an FI certificate shall:
(a) in the case of the FI(A) and:...
............
(2) hold at least a PPL(A) and have:
(i) met the requirements for CPL theoretical knowledge, except for an FI(A) providing training for the LAPL(A) only;
Therefore; you are restricted to teaching for the LAPL(A) only!
If you obtain a CRI rating you could do all of the oither items! It makes no sense, but thats EASA
There are many FIs who did not originally have to take the CPL TK exams who have grandfather rights to teach PPL. So far I have not seen anything in a LAPL FIs rating to indicate any form of limitation, so how is anyone supposed to know or regulate this?