Surely to god you mean 580 puts. If so you might try breaking it down into lots of 10 contracts to at least get some partial fills. If you are truly trying to trade 180 puts I am afraid you are going to be shit out of luck.
Ok now that we have the correct strike, are you using a limit order and if so what price is the limit set to? If you are using a market order it should fill.
Your 100 lot is not even showing up on the current market. Which exchange did you send it to? I assume you trade as customer. There is plenty of liquidity in at the money June in GOOG
Think of volatility as synthetic time and time as synthetic vol. Sure, today's premium will be cheaper tomorrow, all things being equal. A bet on theta is a short bet on stat vol, or the ability to ride it out.