If not already, have you tried using another browser such as
http://www.opera.com which may have been mentioned in your previous requests? It might work with your online banking and maybe even with work the current Kapersky version.
Having said that, every time a new version of either Kapersky, or whatever type Web browser you use is released, its not certain whether they will be fully compatible!
If it was me I would try Opera as a test. If you try a similar test and that works for you, you may even want to continue using it, at least until you manage to update to the latest 2013 Kapersky.