Great accomodation! Everything exactly as described, do no need to go into detail here.
Since I arrived by train, Jasmin was so nice to offer to pick me up from the train station!
They also gave me a bike to get around. Quite handy to reach shops (2min by bike) and downtown (5-10min by bike).
The apartment is close to the airport (to be fair, most of Innsbruck is, on my opinion), so yes you do hear planes. But there are two things: First, they don't fly late in the evening or during the night, and during the day you should be out exploring the city and the surroundings. And second, it seems to be a very quiet airport. Don't think they have more than one plane per hour.
Do don't worry about the location and enjoy this perfect place in Innsbruck!
I felt very welcome and Jasmin was a great host. Highly recommend it to anyone!