POE, log4perl and sqlite

Good day.

I'm using a bit modified Sungo's TCP server (Using SocketFactory and
ReadWrite). I'm using a plain Log4perl, not POE::Log4perl. Yesterday I
got a crash with sqlite database lock.

So basically I have 2 questions:

1) Do POE's sessions run in parallel? (ok, this might be obvious, but
I have to be sure :) This might explain the database lock, as parallel
session could write at the same time. Oddly this crash
happens rarely.
2) Does POE::Component::Log4perl cure this problem?

If there is no cure, will there be a problem with file based logging?
I can switch from SQL to grep based search.

Thanks,
Antti