In my opinion the British were far better equipped to deal with a second BoB in 1942 than they were to deal with the original BoB.
Radar: Chain Home and Chain Low have been completed and significantly expanded.
Static defences: Costal radar fully operational, over 28,000 pillboxes and some 4000 other permanent defensive emplacements completed by the end of 1941.
Home Defence: Home Guard is equipped and can be used as garrsion troops/static defence troops, leaving the now much better trained and equipped British Army to fulfil a counter invasion role.
British anti invasion planning was built around a combination of fixed defensive fortifications in depth (up to 30 miles deep on likely inland routes) to slow the invasion forces and prevent bridgeheads connecting, followed by strong locallise counter attacks, eliminating enemy bridgheads in turn.
RAF; UK Fighter Command rose in size by 20 fighter squadrons (a 35% increase in strenght), much better equipped to take on bomber forces (cannon equipped Spitfires and Typhoons, nightfighter Beaus and Mossies).