Need I purchase IOS if I order an WS-C4510R-E, with an WS-X45-SUP6-E and several line cards, AC,etc.
Yes, you will likely need to purchase an IOS that will support your required functionality.
You may get an 'IP Base' IOS with the hardware but you'll likely need more functionality than it can supply.
In order to verify what IOS version you'll need, use the Feature Navigator.
Please see the following link for the feature navigator:
(you can start with 'search by platform' and choose the 4500 platform)
(click on the feature you need and it will display the IOS versions that support it)