An assessee being a company receives rent on which it pays service tax and such rent is taxed under the head house property  . Now the company makes payment to auditor for carrying out audit who charges the bill inclusive of service tax . Whether such company can take credit of  service tax arising from professional payments in relation to service tax paid on rent? 

yes

If your Company is registered with Service tax then you can take Service tax Credit.

absolutely you can take input credit

yes, you can take credit, there is no any vice n versa provision in the Act.