For the missing chunks, see this reply. If that doesn't also solve the lag problem, please re-post the log file and be specific as to how you're measuring those numbers because, unless there's some error during recording, the ReplayMod really doesn't change latency in any perceivable way.
The paste.replaymod.com site hangs because it is trying to be smart and wants to auto-detect the syntax of whatever you post. That seems to take longer for larger files and is a lost cause for logs anyway which is why I intent to disable that feature but I just haven't gotten around to it yet.