with me.

I did some research and found out that elementary school students in Japan only got three grades: "very good", "good" and "we have to work a little harder", but the Japanese I asked said to me that in Japan they would not get any year-old certificates like us. As I understand it, as a Japanese student you only get a certificate when you move on to the next type of school. Grading is different at each school. But I couldn't find out much more (or more precisely: 100%).
(Source: http://www.sz-online.de/nachrichten/artikel.asp? Id = 1409137)

As is well known, Ran goes to the 2nd grade of Teitan High School.
(Source: http://detektivconan-wiki.com/wiki/Ran)
So after the holidays she would be in the last, third year.
(Informative link: http://www.japanlink.de/ll/ll_bildung_schule.shtml)

Also, I couldn't really find out when, where and in what timeframe realistically regional karate tournaments were held in Japan.

It takes about 6 hours and 45 minutes by car from Osaka to Tokyo for the 510 km route. Heiji and Kazuha took the motorcycle.
I will come back to this aspect in the next chapter.
(source used: http://maps.google.de/)

The Rautek rescue handle can be used to pull injured persons out of a danger zone. You should avoid unnecessary movements of the cervical spine.
(The information on this is copied from a first aid book)

Incidentally, in cases of unconsciousness, the pulse should rather be felt on the carotid artery, as this is close to the heart and the pulse can therefore be easier to feel there.