It’s quite normal to overlay existing felt, provided that you’ve established the existing is well bonded and that there’s no trapped water underneath in the existing substrate. Just cut some cores where you suspect water ingress to check condition of the deck.
Why do you want to use a pond liner/EPDM?
I have seen some really bad installations of EPDM. Not many seem to be able to install it well, trickier to detail and do laps.
Modern felt is good for 30 years.Get advice from a reputable manufacturer like Iko .
Use a PIR board for insulation,Recticel works well.
Most new builds and commercial re roofs use a Pu adhesive to fix the boards. Soudal is perhaps the most commonly used.