I think that’s 3 issues:
1) The search showing all locations seems to be because the hidden tab is auto-centering between all POIs when it’s displayed (i.e. if it was displayed initially, it would work). I’ll have a look into fixing that.
2) The plugin was changed to always use a new tab, but the documentation wasn’t updated. The change was made so the map wouldn’t recenter if the user goes to the target page and then back to the original.
3) I can’t say about the icons, I’d need to see an example on the test site, so please send a demo URL when you have it ready.