Yes, fabelhaft.co can receive emails.
Yes, fabelhaft.co seems to be a legitimate domain.
A record
198.185.159.144
MX records
alt1.aspmx.l.google.com.
209.85.202.27
alt2.aspmx.l.google.com.
64.233.184.26
alt3.aspmx.l.google.com.
142.250.27.27
alt4.aspmx.l.google.com.
142.250.153.27
aspmx.l.google.com.
172.253.122.27