Come on DSB, dont take it that hard. KvdA is just trying to help, as are you. Remember that we're all here to provide advice and help to one another. Most people have the best intentions, but may be less native in English, or less experienced in a certain field, and as such may not provide an answer which (in your eyes) holds the whole truth.
Allthough your remarks have some ground, KvdA's answer to Q2 is correct; EN 13445 + CE Marking = PED compliant. Remember, a CE mark may only be applied if the design is PED compliant. Furthermore, EN 13445 is a harmonized standard, meaning that a design acc that standard presumes conformity with the PED.
Indeed, KvdA's answer to Q2.1 is somewhat ambiguous; the short answer indeed is "when in conformity with 13445 or PED". It's rather tricky, but essentially, if ASTM materials are used, that is OK as long as they meet the requirements of the PED, and the design code requirements. If the latter is e.g. EN 13445, then it becomes quite difficult; the design basis for stress allowables, mechanical testing, chemical, NDE, etc is whole different. Just making a PMA is not all it takes. If a material, e.g. A106-B or A312 TP316 is dual certified to both the EN & ASME standard, then youre lucky. For a lot of common grade materials, thats the case right now with a lot of EU mills. The common grade materials e.g. are A106-B, A312 T304 and A312 TP316.
The answer to Q1 indeed is not a simple no, but the listing of all ESR's (Essential Safety Requirements) is too much for this topic. References for further reading have been supplied.