I would suggest that you upgrade your bladelogic environment to latest one 8.6 SP1 as currently we don't have support for 8.1.x as seen from product support list:
8.1.04 BMC BladeLogic Server Automation Suite NO SUPPORT
in supported versions of product we usually support OS no matter what SP it has so if you open docs i.e. on 8.2 (limited support)
you will find that we support in 8.2 following:
SQL Server 2008 (R2 and Cluster)
so we should be covered for any SP, but as your environment is out of support you would need to open docs and see what OS we supported in 8.1 for DB and if there is SQL Server 2008 (R2 and Cluster) I think you should be covered for any SP.
I hope this was helpful to you, and please consider upgrading to latest release.
8.1 i think supported only 2008, not 2008 R2. we don't qualify each service pack, support is assumed.
Managed to track down doc for 8.1SP2 which includes support for SQL 2008 R2.
Raised a support ticket and they have confirm SP3 should be fine.