I would recommend that if you want to use remote desktop from outside your home network, you set up some kind of VPN to prevent hackers from getting in.
Also, there is an excellent virtual keyboard you can install on your PC so that your Remote desktop session is fully functional. Here is the virtual keyboard: http://www.lakefolks.org/cnt/

Also, to right-click in the remote desktop session, you just press the center button of navigation pad.