In the current scenario, you have the risk of conception, so do not insert another ring until you exclude pregnancy
. You can wait for your natural period to ensue and if it does not, please go ahead with a HPT 3-7 days later. Also, see your specialist for a local examination to see where the ring has gone. You may also need a trans-vaginal sonogram. Your recent menstrual history also suggests some hormone imbalance
which needs to be looked into. Hope your query has been clarified. Take care.