Was there probable cause for law enforcement to approach my parked but running car and proceed to arrest for DUI?

I was sitting in a legally parked but running car, in a residential area, talking to a friend who was sitting in the passenger seat. We were parked there maybe 15-20 minutes. The car was only running because the temp outside was hovering near single digits. I saw a police car a block away who started spotlighting, pulled up behind my car and approached the vehicle, and indicated for me to get out. The officer stated he had seen me, and had seen my car parked in the bar area an hour earlier. I had no face-to-face interaction with any officer while in the bar area. Officer smelled alcohol and arrested me for DUI. I was not asked to take a breath test and refused the field sobriety test. I don’t believe Miranda rights were read to me at the scene. The officer drove me to the hospital to get a blood test, which I refused as I believed they had no right to approach my car in the first place. I was not combative, simply verbally refused to allow blood to be drawn. I stated if they wanted to draw blood they could get a judge’s orders. No attempt to draw blood was made. At the hospital I asked about the Miranda rights, and the officer said "they're right here, on this card." They were not read. I was placed back in the police car and taken to jail where a call was made to the judge. Judge ordered $500 bond and a pbt reading of zeros before I could be released. I finally took a pbt roughly three hours later. Reading at this time was .1 Did the officer have probable cause to approach my vehicle because he had seen my car parked by the bars an hour earlier? I had no face-to face interaction with any officers while in the bar area, so they would have had no knowledge if I had been drinking or if I was a DD for the night. If he did in fact have probable cause, how well does a DUI case hold up in court that has basically no evidence other than the interaction with me at the scene? No driving witnessed –erratic or “perfect”, no blood, pbt or field test at the time.