the first two slow chords in the opening seemed too short to me - but, that's just my gut feeling and not a fact since i have not played the concerto.
why does it sound like the strings are falling asleep in the second movement. you sound like you are trying to get them to move - and you are hopelessly stuck in a quagmire of toilet bowl soup.
schumann's concerto requires a really good balance in a piano, imo. not too easy to play, and not too hard. the too easy to play pianos sound 'flimsy.' the ones that are too hard would be tiring. maybe something in between with a 'color' of it's own in especially the high range. i didn't like the piano you were playing on - but liked your playing. another piano would have highlighted some of your notes better.i especially feel this in the second movement. that the piano could have been more responsive to you - and also, to not have a 'flimsy' sound. ok. you're ready for abetter piano. get one. demand one. you deserve it at this point.