Can I write the calligraphy inscription, Zhai number and name together?

Yes,

For example, the signature is: XXX (name, font size, etc. ) written in XX Xuan, Jinghua (Zhai, Tang, She),

At that time, the owner XXX (name, font size, etc. ) ×× Xuan (Zhai, Tang, She) was written in Beijing in the spring of Ding You.