What kind of devices do you use, and how are they connected to the network?
Unfortunately, Rebex libraries don't provide any APIs for managing the operating system's TCP/IP subsystem - except the Rebex.Net.ConnectionManagement.ConnectionManager API, which only makes it possible to initiate a GPRS, EDGE, LTE, ... connections and is not useful on devices connected via LAN or WiFi.
Also, even if FileTransferClient was not properly cleaning up its TCP connections (which is unlikely - just make sure to call Dispose method), that should not bring down the operating system's TCP subsystem - if a badly written app did that, it would actually be an extremely serious bug in the OS, and we are not aware of any such issue.
The problem you are describing does not even resemble anything our customers ever encountered on any Window CE platform during more than 20 years we have been supporting those. It looks like something is wrong with the network connectivity, but that's something that's beyond our reach.
Basically, if the problem can be reproduced even without using any Rebex library (using the sample code I posted at Jan 23, for example), it's unlikely we would be able to help resolving this issue without an ability to reproduce it. Rebex library assume a working OS and .NET with a working TCP/IP subsystem, and won't operate properly if this is not available. If we had access to an actual device and network where these issues occur, we might be able to look into it, but even that would be outside the scope of Rebex library support (it would be a matter for our consulting services -
https://www.rebex.net/support/services/).