My guess is that two drops of a liquid (my own sweat?) landed on the sensor when I was changing the lens. Anyone else seen something similar?
I guess it is sensor cleaning time. Can you recommend good and safe cleaning kit? What about Eclipse?
I doubt it's your sweat. Even with the lens removed, the sensor is not exposed - it's behind the mirror and the shutter. So unless you set the camera to Mirror Up and the Shutter to B and press the shutter, you will have a hard time trying to drop your sweat on the sensor.
Usually dust bunnies or specs (light and dry stuff) gets on the mirror or most commonly on the back of the lens (that's why rear cap is important.) and when the lens is back on and you take pictures with it, the mirror flaps up and down and stir up air current inside the mirror chamber. The air current dislodge the dust and eventually they land on the sensor. So, as you can see, it really takes some effort to get dust specs on the sensor.
Full disclosure: I work in a full service camera store (yes there's still a few left!) and we charge $60 for sensor cleaning. We also sell the gel type cleaning kit for $30 but most people opt to leave it for us to clean.