You can add history to show l2circuit connections interface .... command to see history of this l2circuit changes.
And about LSP , LSP can be rerouted , even if LSP goes down traffic can steel be forwarded via ldp labels.
Timers ... from "show l2circuit connections" you can find "Remote PE:" , here is ip address of remote PE router. Try to run command "show ldp session IP_PE_router extensive", in output you can find "Keepalive interval" and "Hold time" intervals for this l2circuit.