Check the official site often, June is a little far away at this time for anything to be planned.
10-12 june is tuesday till thursday. Handshake events (if any) are usually on weekends, studio recordings on fridays. Your best bet would be Shibuhachi which is now usually on wednesday and almost every week. Nicohachi tends to be on sundays/mondays.
However, the past 2 years they've done the Zepp Tour, which always ended in the beginning of June, so all other activity around that time is suspended. But it's already April and we still haven't heard anything for a big June concert...
So it's a bit unsure at the moment. You'll need to wait for any news the coming weeks.