Could you please send us the Host log to email@example.com. You can locate the Host logs in the C:\Program Files(x86)\Remote Utilities - Host\Logs\ folder. The log should contain information about connectivity problems if any.
We are currently investigating our options when it comes to resolving the closed lid issue. Unfortunately, this issue may potentially be caused by factors we do not control (such as how the display is shown in that state) and that may even vary from hardware to hardware. We will do our best to resolve the issue though.
Android and iOS version in its present form shouldn't have any limitations on the number of records at all. Please, make sure that you have the latest version installed from the Play Store and let us know if the issue persists.