No. You have to jailbreak your ipad first.
Yes, Installous from Cydia works fine on a iPad.
No
No
You'll have to open cydia 1 more time and install Cydelete
Yes, if you restore your iPod or iPhone on iTunes it will delete Cydia. The restore function on iTunes restores your iPod or iPhone to its previous settings.
No not unless you jailbreak and download an app from Cydia...
I don't now a other way to get cydia of but the only way I know how to take cydia of is to restore your iPod touch
That's because your probably jailbroken and you need to delete them from cydia
To delete Cydia Demo, you can follow these steps: Open Cydia on your device, go to the "Installed" tab, and locate the Cydia Demo package. Tap on it, then select "Modify" and choose "Remove." Confirm the removal, and Cydia Demo will be uninstalled from your device. If you encounter issues, you may need to use a package manager or SSH into your device to remove it manually.
You don't download the cydia ipa. Use this link to find out how to jailbreak your iDevice: jailbrea.kr
You can't or should be able to delete cydia other wise u may have to jailbreak it again