That chainring right next to the couch is giving me the willies.
The way to check for a loose headset is squeeze the front brake with one hand and push the bike forward and back with the other. If you hear knocking, or feel it through the frame, your headset is loose. If you don't know how to fix that, and especially if you don't have a torque wench, take it to your LBS.
How tall are you? That doesn't look like it's any bigger than 56 cm, and more like 54.
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