You need to speak to your CFI.
If you had currency on your SEP, then you could simply go on the CAA website, download and complete SRG 1119C and SRG 1107.
Copy of your medical, copy of your passport, CFI signatures all around and circa £70 for admin fees. About 6 weeks to process and no P1 flying in that time allowed.
But with no currency on your SEP, your new shiny license could come back without the SEP on it, leaving you no further forward and the need to reapply again to get the SEP added once completed.
So you have to talk with your CFI about the right running order of things. He may allow you to finish your SEP renewal and then complete the process.
Not that any of this happened to me of course
