With respect to your questions,
1) "is it a rule that I must pay myself a wage?", the answer is no, assuming you had no profits and you are an unincorporated entity.
2) "what should I do with the cash withdraws?", well since you used these to pay for business expenses, you should deduct the cash expenses as business expenses and take a deduction on your schedule C according to the business category it belongs.
3)"the cash advanced deposits from my credit card; are they considered income to the business?", no they are not, and as such if you deposit these into your business account, they are really considered as either additional paid in capital or a loan from the owner and not considered as income on the tax return.
4) "do I owe any Taxes to the State/Fed Gov?", it all depends according to whether or not you are a corporation or not, if you are a corporation, you would be liable for the minimum franchise tax applicable to that state which you are operating. For example, if you were a New Jersey Corporation, irrespective of whether or not you have made a profit or not, you would be liable for the minimum NJ Franchise Taxes of $520.
On the other hand, if you are a sole proprietership you would not generally be responsible for any Federal or State business taxes as such!