About Logged out - hmm, I see that you have 60min session, I was able to edit page, create a new one , and all worked. How often do you have that problem? I saw that you added many pages and content so far.
Joomla has only two options for "Session Handler": database (set by default) and filesystem.
Generally, Filesystem is the preferred choice for modern websites, while Database is the "safe" default that works everywhere. Filesystem avoids "table crashes" or "too many connections" errors that can occur when the session table in your database becomes bloated or locked during high traffic.
You can consider that simple change in Global Configuration → Session → Session Handler. It should help.