Yes. CAPLE delivers the CIPLE through a network of authorised centres, roughly 100 of them across about 35 countries, so you do not need to be in Portugal to sit it. Availability varies a lot by country, and your certificate is collected from the centre where you sat the exam.
CAPLE issues it roughly 21 working days after results are published and ships it to the centre where you sat the exam. You collect it there in person and sign a receipt declaration. Some centres will post it if you supply a registered envelope, but many will not, so ask yours.
Through CAPLE's online portal or directly with an authorised exam centre, depending on the centre. Find a centre, check its session calendar, register, and pay the fee. In practice the portal is unreliable, so contacting centres directly by phone or email is usually the faster route to an actual booking.
Typically between 90 and 120 euros, depending on the centre and the country. Fees are set by the centre rather than being one global price, so confirm with yours before budgeting. A retake costs the full fee again, which is the part that makes an unprepared first attempt expensive.
Report it to your exam centre in writing within 5 working days. The spelling on the attendance sheet you signed on exam day is the spelling that gets printed, so check it there. Once the certificate has been issued, correcting a name means paying for a duplicate and returning the original.
A LAPE is an authorised CAPLE exam centre. It is where you sit the exam, and it matters more than most candidates expect: it controls which sessions exist, holds your registration records and candidate number, and is the only place you can collect your certificate, in person, once it is issued.
Work backwards from your deadline. Budget about three months from exam day to certificate in hand, because results take up to six weeks and issuing takes another 21 working days on top. Then add the time to find a slot at all, which can be the longest stage of the lot.
Because the portal is genuinely unreliable, not because you are doing it wrong. Its search does not always return existing sessions, availability appears and disappears between visits, and some centres open registration for only a few days. Contacting exam centres directly is the workaround that actually produces bookings.