Hello aspirant, 

If you belong to general category then obviously you won't be having caste certificate, but if you are eligible for caste certificate then you have to submit it for any kind of scholarships you want. 

All the very best for your bright future!! 

Yes, integrated community certificate will work for the verification, as mentioned in the latest notification on the official website. See it here: http://pgecetadm.tsche.ac.in/pdf/PGECET19%20Detailed%20notification.pdf?p=12
For more details on PGECET, visit : https://engineering.careers360.com/exams/ts-pgecet