The only product you have from us is Event Aggregator, which allows you to use your license key at 10 sites.
I show it’s only registered at one site: www.kine-formations.com
Is this the domain of your test site (where it was) or your production site (where you want it to be)?
Additionally, there are no updates to do. All the code is actually contained within The Events Calendar free/core plugin. The product you paid for enables running the imports because those run on our servers. It’s setup this way to account for the high performance requirements it takes to consume so many imports for each user.