The beginning of a love story?

When he arrived he was watching out for the red Mini, but he couldn't detect the car anywhere. Damn! He wanted to answer the message in the same manner, including his phone number, then it was up to her, making the next step. He cruised around a little, no red Mini appeared.
To act unsuspicious and to gain time (This is ok, but it sounds more natural to say, "To blend in and save time..."), he turned and drove to the bakery. Unhasty Unhurriedly, he parked the car pretty far from the shop and bought a sandwich, even though his mother prepared a lunch pack packed lunch for him.
Nearly an hour later he was back at the parking area, scanning for the red twin Mini, but without success. At his desk, he could not concentrate on his work. Suddenly he had an idea. On his PC, he opened the company directory, seeking for Vitoria. He got 25 results, 5 in his building, 3 with photos in their profiles. He could not imagine that this these (because "ladies" is plural) elderly ladies will drive a chilly cool (chilly refers to the temperature, and I think you mean something more like "toll" oder "modisch") red Mini. He looked at the recent laid in(I'm not sure what you mean by this. New? Recently established?) profile, without a photo yet. Floor 4, Room 424 he muttered and started to go to that destination automatically. When he arrived in front of the door he really didn't know what he was doing here. Suddenly the door opened and a girl run ran into him. It was that bright eyed beauty he saw in the canteen, yesterday. He was unable to speak, unlike her.

“Oh, I am so sorry, are you hurt?
Hey, you are the guy, who drives the identical car than mine car identical to mine. I have seen you getting out of your car yesterday, near my home. What a coincidence, same car, same company living next to each other … Mmh, by the way, I had to take the bus this morning; can you pick me up at closing time? The bus connection is really bad.”

“Ye-Ye-Yes (the dashes indicate stuttering speech), of course,” Andy stuttered. “At what time?"
“At 4pm, would it suit you?” She asked.
“That's exactly my time, I'll come to you. See you then.”
They waved each other and went back to work.

Andy usually stopped work at 2pm on Fridays. But this Friday he will stay 'til 4pm with pleasure.

==== to be continued later ====

Nice! I hope I was not too harsh; your English is quite good!