Also, the longer any complex but lifeless structure in that scenario exists, the more likely it is to be destroyed by natural forces that we know and operate with every day.
It's not likely, in fact, it takes more faith to believe in those odds than it does to believe that humans are the deliberately engineered.
Also, your second point is the wrong question being asked. The first is "how likely is it that life arose by chance in a lifeless universe?" The second should be "how likely is it that this ordered and organised system in front of me is the product of engineering and intelligence?"
Based on what we know about information management systems, it's extremely likely that any information management system that we stumble across is the product of intelligence and intention.