Roofer here, conservatories are always a pain, often poorly fitted and on insufficient foundations resulting to movement over the years and leaks. The abutment sounds like an issue with sufficient cover over the glazing bar and low step height? This can sometimes be worsened because a built up of debris. That said it’s worth remembering that water often tracks along surfaces so in this case the leak could be at the apex and running along the glazing bar. Regarding the panels, you could replace the seals, or if you feel able to, drop the panel out, clean the surfaces and re-fit with some clear silicone for a short to medium term fix.