I have assigned a ZH GoogleMpas module to the Home menu which works perfectly.
I also want it to appear the same way (with all Placemarks) in the same Position for Menu items:
1) Border Collies/Our Boys
2) Border Collies/Our Girls
3) Border Collies/Grown Ups
4) Border Collies/Litter List
The first two(2) menu items are of the type 'Compact list of tagged items'.
The lower two(2) are of the type 'Category List'.
I have assigned the module to all these Menu items but the Map does not appear at all for them when using Position 'Services'.
I changed the Map's Position (from Services to Bottom - Joostrap Adventure template) and now the map appears for the Home page and just the Menu item 4) above - but still not 1) to 3)
I have turned on 'Enable Support External Link to Placemark' because I saw it mentioned in the Forum and thought it may be needed for the Map to respond to a Menu item.
I can't see your site (got error Bad Gateway)
As for modules - if your page can display more than one module with map (for example by category list) - you'll get only first - it is module restriction, only one map module on page.
If you want to display more than one map - you need to use plugin call in an article.
'Enable Support External Link to Placemark' - it is only for manual building your own placemark list. It doesn't do anything else - only ability to "access" to placemark from page code (for example, click on placemark by clicking some a-tag)