Yes, 5.so-net.jp can receive emails.
Yes, 5.so-net.jp seems to be a legitimate domain.
A record
None
MX records
ms-mxin1.so-net.ne.jp
202.238.84.11
ms-mxin2.so-net.ne.jp
202.238.84.12
ms-mxin3.so-net.ne.jp
202.238.84.13
ms-mxin4.so-net.ne.jp
202.238.84.14