This sounds potentially dangerous. Can you type out exactly what unsecure error you get?

The most common reason for a website appearing insecure is an invalid certificate, usually expired. However an even worse reason is that someone between you and the website you are trying to accesis is providing you a false certificate on behalf of a legitimate Website.

Try visiting several international sites that should be secure and who has no chance of letting their certificates expire, like paypal.com, bankofamerica.com. If all those appear to be insecure, or when you click the lock icon directly left of the URL and an error or no legitimate certificate appears, you should stop using this internet immediately.