Thanks for the reply @joshua.
Although I still don't know if it is possible to set POST Header fields, the Kickstart file allows to do this by defining the tenantId
in the root of the request. I'll paste it here directly, to make it easier for other visitors
{
"method": "POST",
"url": "/api/application",
"tenantId": "#{secondTenantId}",
"body": {
"application": {
"name": "My Cool Application"
}
}
}