Drop shadow also needs removing from the logo but i cba
Also stick to the 4 colours
Dark Grey - 2c2c2c
Light Grey - cbcbcb
Red - b91221
Blue - 0057a8
That looks really good and I'm not usually a fan of going too much towards the flatter tiled look, IMO logo looks better with the drop shadow than without though and I'd have kept the gradient on the top bar to keep it distinct from the content.