When I did learn to skate classes as a teenager, I skated at Prince Alfred Park Ice Rink in Sydney, near Central Station. The rink itself was partly under a tent-like structure, and there was a swimming pool next door (the pool is still there). It was a pretty rubbish rink, admittedly, but it was cheap and was next to a major train station. One day we arrived for our class and found the rink was closed. At first this was only meant to be temporary whilst the managers found some money, but it never re-opened (and I never got to take my 'Jump 2' and 'Ballet 2' Aussie Skate tests, which should have taken place the week after the closure!).
And thus my teenage skating career ended, as neither of the other metropolitan rinks were easily accessible by public transport from where I lived (for those who know Sydney - there was no train station at Macquarie Centre/Uni at that time, I was on the wrong train line for Canterbury, and although there was a bus to Campsie there was no way on earth my mother would let me walk around that area on my own). Narabeen and Blacktown rinks were too far away, and there were no others.
Despite it not being a great rink, given how much I struggle now to even regain the skills I once had, I really wish it had stayed open!