Loading 2 Different Version of JS files [closed]

My only question is will this (loading 2 JS files of different versions) create any problem in any other pages?

Likely. WP loads jQuery in noConflict mode, meaning it doesn’t occupy typical $ variable, but only jQuery one. However another copy of jQuery can very well get in a fight over jQuery one with the core’s version.

Inherently this is possible, but requires very explicit implementation of noConflict so that two versions are kept separate and only called from code intended to use that specific version.

In a typical theme case it would probably be easier to fix up code to use current jQuery version properly, than bother implementing multi–version environment.