Sorry for the delay in answering your question.
I think your problem is in the game exportation. You have to export the games as Learning Object, and select the LAMS specific exportation profile. <e-Adventure> allows for exporting games as LO following different approaches, so you have to select the "LAMS" profile after clicking in "Export project as Learning Object" in "file" option at the menu.
I know I've tested the importation of the other <e-Adventure> exportations in LAMS informing the user about the problem accordingly, but I could forget to check the .jar and .ead game exportiations.
At this moment I'm working in the <e-Adventure> tool for LAMS v2.4, so I'll take this into account, thanks for your advice.
If you find more problems, please, do not hesitate to post here or in the <e-Adventure> technical forum if the question is more related with the <e-Adventure> platform.
You can get more information in section 3.3 of the <e-Adventure> manual
I'm also working on the documentation of the tool. While I'm finishing that, you can read more about the posibilities of the <e-Adventure> tool in LAMS in this research paper published at the 2010 LAMS Conference.
We would very pleased to know more about how you are using games in your lessons!!
Posted by Angel del Blanco