Yes, k-west.co.uk can receive emails.
Yes, k-west.co.uk seems to be a legitimate domain.
A record
34.249.44.141
MX records
mx1.hc1062-99.c3s2.iphmx.com.
139.138.60.189
mx2.hc1062-99.c3s2.iphmx.com.
68.232.133.179