Why next to some teams you put Coppa Italia, Q, CdR, etc?

That's because the Domestic Cups allow for the qualification to the EL, too, even if the team might not have qualified by their ranking in the League (originally EL qualified teams are marked in Blue, btw).

I thought it might be interesting to have that info, too. That's why I added the "Fairplay" with West Ham as they entered the EL quali via the UEFA Fairplay ranking and "EL winner" with Sevilla as they entered the CL groups via their EL win. It's just more normal to have the Cup Winners als CL teams, so in that case there is no extra blue marked team in that league. For other qualifiers via the league ranking, I added the "Q". That is CL qualifiers via the League are Black and EL qualifiers via the League are Blue, too.

As there is movement between CL and EL, I decided to keep all European playing results in one row combo (in rows M/N). I just put the current tournament where the clubs play on the very right. So "--" means no EL/CL quali at all (green colour of the clubs), while "out" means that the club did play European, but got kicked out by now. The colour of the club then shows where it entered the competition at the beginning of the season.

Why Barça has CdR next to it or Juventus Coppa d'Italia? That's not relevant cause they didn't qualify to anything for winning them?

Well, I added them as otherwise people would ask me "where is the CdR / CdI winner, I don't find them" XD

In my dreams i've met your lips a thousand times