My Bank account was frozen for a past creditor,and I have direct deposit going into my account next week. Will I be able to withdraw my funds?

Probably not. If the garnishment is still in effect.

No, if your bank account is frozen pending an attachment (garnishment) to take the funds they need to cover your debt.

If you put more money in that account it is frozen along with the other money. Once you deposit money it will be also frozen

No. Your best bet would be to stop the direct deposit.