Thanks for your answers both of you.
@ThumperPaul : You're right, th needle valve seat is the one we removed from the motorbike with the original o ring. Now, both oring purchased from Europe and US are the right size, I mean diameter, but not the thickness (hope it's understable) so when we put it back in the carb, it's moving inside, which explains the leaking.
To answer your question : I bought genuine parts (from Us and Europe)
I thought maybe the previous owner changed the card. But no (see picture under).
So I got a genuine Mikuni carb, I got a brand new genuine oring (#13374-35C00) but it doesn't fit the genuine needle valve seat.
Even Suzuki shop staff here in Tahiti don't know what to do, except maybe to buy a new carb

In fact one of the guy suggests, like you did, to find a oring from automobile part shop.
Well yeah, but is there any chance to find the right dimension (external at least) or should I go to try any oring ? Will take time.
Again, thanks for your time and if you have any idea, fell free to share.