Can I identify my iPad model by serial number?

Generally no - as Apple does not now use a serial number schema that identifies models or manufacturing data.

If you have access to your device settings, model information can be found here:

Settings > General > About

Similarly, you can find model specific information for your devices from your iCloud account:

https://icloud.apple.com - open the Devices Tab

Still not sure which iPad you have?  Identify your iPad model.