I think the upgrades are a home port job, especially the radar install and setup. 18 July 1941 Repulse arrived at Rosyth to have her radar suite and AA upgraded (shown here at the base). Per my copy of Battlecruiser Repulse, a fantastically informative book I bought last year at the Royal Maritime Museum, the work was evidently not completed, with no some radar masts and most of the intended new AA guns missing. My guess, is HMS Repulse returns to Rosyth to complete the work.... and hope they're done by the end of March 1942, before KdB strikes in early April. Repulse may end up having that work done in South Africa, while PoW and available destroyers buttress Force C?
What about HMS Prince of Wales? I’d be tempted to leave her at Ceylon to await the Far East Fleet. Though the prospect of PoW (and Repulse, if above upgrades delayed or completed) joining the RN forces to catch the Feb 1942 Channel Dash might be a good use.
Sir John Tovey refused to risk the one effectively available battleship, HMS King George V, in the Channel, so close to the U-boats bases and Luftwaffe bomber bases. Of the Home Fleet battleships available in the second week of February 1942:
- HMS King George V - Watching the Tirpitz.
- HMS Duke of York - Working up and would not join the Fleet until the end of the month.
- HMS Rodney - Too slow to catch Scharnhorst, Gneisenau or Prinz Eugen, and was in need of another refit.
- HMS Renown - Force H. In the UK to escort a troop convoy to the Middle East.