Welcome to the Support Communities!
I'm sorry to hear you are having issues accessing your shared library with your iPad.
The article below may be able to help you with this issue.
Click on the link below to see more details and screenshots.
I've quoted some helpful highlights for you:
Learn what you can do if, after setting up Home Sharing, you cannot access your shared iTunes library over your home network from another computer, Apple TV, or iOS device.
Note: For general information about Home Sharing, see Understanding Home Sharing.
Home Sharing requires a home network with an active Internet connection. All the devices you want to use with Home Sharing need to be connected to your home network.
In addition, verify that:
- All your devices are connected to the same router, if you have multiple routers. Using multiple routers may prevent discovery between these devices.
- If your computer is asleep or shutdown, or iTunes is closed, there's no access to the shared iTunes library. Wake up or start the computer and open iTunes to regain access to that library.
- Your router needs to be up-to-date. If you are using an AirPort or Time Capsule, read this article to find out more about firmware updates. If you are using a router from another manufacturer, contact the manufacturer to inquire about available updates.
Restart your home network router using the method recommended in documentation from the manufacturer. This may include disconnecting the power cord for thirty seconds or more.
I hope this information helps ....
Have a great day!