In my previous platform in XP; I checked out files and used to update/commit from there.
Now i switched to windows 7 64bit & also installed from tortoise-SVN 64bit installer.
But, those folders don’t have proper icons & most importantly- not getting proper options on right-click.

The .svn hidden folders & files are present in those directories.

In XP, its working fine & all required options are coming well.

The answer is in your screenshots: Your working copy has an older version than your new SVN client:
Make sure you read the warnings underneath that paragraph; once you upgrade a working copy, older clients can’t access it any more.