Hi
You can get in touch with Decebal: https://www.airbnb.com/rooms/2087864 His location is very central in Brasov, as you can see. Also, he's a very cool and helpful guy and for sure he'll give you lots of hints with where to go and what to see.
I can help you with that. Coresi and other shopping centres usually have their own free parking, but other parking spots, especially in or near the old town, have a cost of 1.5 Lei (£0.3) per hour. However, they are free from 8:00 PM to 8:00 AM and on Sundays.
You can pay with coins at these things or install this app, though I'm not sure how well it works for non-romanian numbers.
Edit: Damn, too slow!