Thanks a lot for this excellent and detailled reply.
Good news about the lounge in BEG. I will probably spend some time there. Does it have good views (as well as in SJJ?). On the outbound flight I am considering taking a walk to Surcin, which should be around 2,5 km one way. Finding a local restaurant there. It would be evening time and it could be fun. Time should be enough I guess... The museum will be closed at that time anyway, so maybe a better option than staying in the lounge, unless they have "real" food there, which is a little more than a sandwich and chips...
Nice to hear the remove the black dots.... Honestly, in all airports I have been in Europe this seemed to be one of the worst to me in the past, good to see if it has improved.
SJJ offers webcheck in. It's funny since it's not webcheckin of the airline, but of SJJ airport. Aparentely they do check in for all airlines there. You then still need to collect your Boarding pass at a counter.. a little strange but it's worth a try.
You seem to be LH SEN and fly a lot with JAT. It's not possible to get miles with LH on JAT anymore, right? Furthermore as economy class guest with LH Gold I can't access any LH Lounge in FRA, right?