You can register .ro domains and every Romanian extension (.com.ro, .info.ro, .org.ro, .store.ro and more), plus international ones such as .com, .net, .org, .e...
Yes, you can search public Certificate Transparency logs for certificates issued for your domain and its subdomains. Monitoring services can also send alerts when new certificates appear in these logs.
An unfamiliar certificate does not automatically mean your domain has been compromised: it may come from a service you use or an automatic renewal. Check the names covered by the certificate, its issuer and its issue date, then compare these details with your active services. If you cannot account for it, investigate access to the accounts involved and contact the certificate authority about its reporting procedure and, where appropriate, revocation.