Yes, Tiki has all the features you describe and many many more. Just turn off features you don't need.
When you install, start off with this profile:
Yes, the site is confusing. It's tricky because, among other things, there is content from since 2003... We are currently re-organizing:
Since you can code, please contribute your fixes & enhancements:
And "weird help-thingy" has been fixed for upcoming Tiki4.