I didn't try this yet: "Use RDP in the office to connect to your Host and see what happens."
But I tried to connect direct to guest machine via RDP.
And there is no such problem. So it means that problem is exactly with vmware player via RDP.
Tests cases:
1. Connect to host machine via RDP - no freezes
2. Connect to guest machine via RDP - no freezes
3. Connect to host machine via RDP and open guest machine via vmware player - bug!