You cannot create new albums directly in the iPad's Photo app. This needs to be done on your PC or Mac and the iPad then synchronised with the PC/Mac. Similarly, photos on the iPad that have been synchronised cannot be directly deleted. You need to delete or move them on the PC/Mac and then resynchronise. Only photos that have not been synchronised - say received by email - can be directly deleted.
If this restriction poses a problem, then there are many third-party apps - many free - that allow the creation of albums directly on the iPad.
Tim