HSRP and Policy based Routing

There is no problem using policy based routing and HSRP on the same router. You only run into trouble if you try to use an HSRP IP as the target of a set command in your policy. That is a no-no if the router executing the policy is or could become the active router for that IP.

Good luck and have fun!

Yes. HSRP is used to control which router receives packets from the LAN hosts, and policy routing is used to control how the routers send packets. They're totally independent of each other.

That's also irrelevant, since your question was about policy routing, which overrides the routes learned by the routing protocol.