So, I have been checking for flights for this summer but they are really expensive compare to out season.
I am planning to go to Osaka and I found it difficult to find a good fare. I found this one and, as you can see, I would have to pay 845 EUR.

However, I was "playing" with ITA Matrix I found out that I can get the same itinerary paying about 300 EUR less. You can check that fare in this PDF file. If that's it's like I think the saving is really impressing.

However, I'm not sure if I buy this ticket the luggage will arrive at my final destination or I will have to pick it up and do the checkin again every time as it is a multidestination flight. So maybe you can help me to understand if I will have to do the checking in every destination or I will only have to wait inside for the next flight. To check that I think the PDF file from ITA should be enough.

Thanks for your help!