Hello, yes Admiral Markets is FULLY regulated. Admiral Markets UK Ltd is authorised and regulated by the Financial Conduct Authority (FCA).
Besides that, I myself have traded multiple years with Admiral Markets very pleasantly and without any issue and they have been active as a broker for certainly 10+ years. Good customer support in tons of countries (more than most other brokers). So Admiral Markets is a great choice, I highly recommend them.
I myself am Forex trader who provides webinars for free at Admiral Markets. So you can check out the platform and trading conditions live in my trading room webinar.