HMS Renown as Force H's rear guard

What actions did HMS Renown take part in besides fighting Scharnhorst and Gneisenau and hunting Bismarck?

One example is Renown forming a Mediterranean rear guard for Ark Royal and presenting the Italian battlefleet with a determined force backed by destroyers.

Renown formed a rear guard to cover Ark Royal against a stronger Italian force. Her captain expected a fight could be lost, but intended to make an Italian victory costly. Destroyers gathered around the battlecruiser after receiving freedom to choose their course, leaving smaller escorts to accompany the carrier. A Tribal-class destroyer may have been present, although that detail is recalled tentatively. The Italian decision not to engage is interpreted as professional caution: such visible British determination could suggest a trap or approaching reinforcement. The account explicitly credits Italian crews with being capable opponents when well led.