while no environment to experiment with this, it looks litespeed is behind apache and handle the requests passed from apache, but connection between apache and litespeed closed by litespeed in some cases.
1)lsws admin console -> Server -> Tuning -> Connection
not sure if disable keep-alive will be a solution
Max Keep-Alive Requests:0
may need increase
Connection Timeout (secs)
2)lsws admin console -> Server -> Security:
disable "Per Client Throttling"(the default value)
since now only one client IP.