differents url for same page in groups ?! and strange category view

Hello,

After creating categories, groups, menu... i encounter some troubles :

A/
On the /groups page : there is 17 groups but screen say : "no groups" !
http://awesomescreenshot.com/0d54s2iub8
On /category page : there is 6 groups but screen say : "no groups" !
http://awesomescreenshot.com/0614s2j776

B/
I have 2 different king of url for a categorie that have a menu link created
http://awesomescreenshot.com/0b44s2jt94
The link in category list (ES sidebar) seems not to refer to menu link like others links
3 = .../groupes/5-asie-destinations-voyages
2 = .../destinations-voyages/asie
1 = .../destinations-voyages/asie

Don't know if i am clear enough, hope the screenshot will help


Thanks in advance for your help
loïc