Whether Service Tax applicable on advance payment

It's better that you do , otherwise the amount of service tax will be grossed up. 

Essentially, service tax is taxable on receipt/cash basis rather than accrual basis, so even if you are going to provide service in the future and you're charging the amount now (say as advance), it will be taxable as soon as  you get the receipt. In such a case, charging service tax on the invoice for advance payment would be wiser.