I would vote for either option #1 or option #3. What is the connection time in LHR? What is the connection time in PHL and I assume the PHL-LAX flight is in J class? Until the vast majority of the BA A380 fleet gets new club seats, you're going to be pretty disappointed. So a "no" on #2. Am not in any way a fan of a double connect when a reasonable single connection is available. So a "no" on #4.