Hi,
Looks like updating to newer mozilla and IE is the issue here.
I have similar problems with a client site.
Safari(older browser) and (less so) Google browsers seemed okay.
I am yet to sort this. But it may be esmi’s suggestion (above) may be relevant as most browsers move on to be more standards compliant.
If you built your site entirely using an older wordpress template, it may be you would need to download a newer template more compatible with newer browsers. Another option is to use tools on some browsers (e.g firebug on Mozilla, developer tools on IE)to identify coding errors and attempt to correct them. http://w3schools.com is a good place to start if you must. Goodluck