I think it's workable, but a bit drab. Darker grey trews might help in reducing the contrast, and in general a dark brown jacket can have that effect. But it's doable, and more summery with the trousers you have: a slighter richer blue shirt, and a warmer, brighter contrasting PS e.g. burnt orange or burgundy, and either tie, shirt or PS having some kind of pattern. I like navy for the tie, though. Green would also work.
Thanks, mimo. Yes, a bit to much contrast. This was my gut feeling to. It makes great sense when you say it; navy and green would definitely work better than the current tie. I'll have that in mind. Thank you for your input.