Audi a4 2004 Quattro leaking coolant?

Hello guys, first off thank you very much for taking the time out of your day to attempt to help me solve my problem highly appreciate it, Anyways so iv owned a audi a4 2002 Quattro for over a year now, never had no problem, had regular maintainence ETC beautiful car I love it. But recently I noticed my coolant has been draining at a very rapid speed, I literally pour the coolant in I drive about a mile while its all ALMOST immediately drains straight out, so I don't drive it around much, is this a blown head gasket? I have no white smoke, car drives fine, over heats around 30-40 minutes of driving, all I know is when I pour it in it its fine, I drive around 20 minutes, and than BAM my coolant light goes on/oil light comes on, but yet my oil is at a proper level, I noticed my coolant/water is all drained out though however, Three questions, why would my car indicate I need oil, when I have oil in it? thermostat? and what could cause my car to drain to fast? I figure it was the hoses, so I took her in I was quotes 700$ to replace the lower, and upper radiator hose is this a good deal? and lastly, could I have a blown head? my car does not over heat it stays normal, just says I need to add coolant/oil but the oil is fine..should I swap the thermostat out? than replace the hoses? can I get a good quote? thanks for your time even if no one replies, appreciate it have a great evening!