There's little we can help you with as we do not have access to the javascript that's causing your problems. Sadly, you won't find Theme Forest of TM templates recommended anywhere in the forum.
The w3c validator shows 81 errors and 75 warnings for your home page. Some of the errors appear to be a mixing of HEAD and BODY code.
The problem between the categories and store listings is that the entries are incorrect in the javascript for the store menu. It's causing the & to be considered as data versus a delimiter.
Apparently, the theme also has some flash elements which really can be a headache, not to mention that flash won't work on some operating systems.
Some of the errors may go away with the fixing of the javascript as a LOT of the problems originate in the outdated code.
You might try testing the template's javascript with
http://codebeautify.org/jsvalidate Maybe fixing those will get you closer to reality.
As to item 2, it may go away with a javascript fix. I would start with all the added javascript and work from there.
For some reason, your meta, link, and script files are loading twice.
IMHO, you can either make someone rich in order to fix this or start over with 155a and responsive_classic changed to what you want to see. I'd be demanding a refund from TF as well.
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