Windows – Mouse not working in remote desktop connection

To me it looks like you have to grant access (on the remote computer) such that the "visitor" (from where you are accessing) can take control.

If you have a NAT router, disabling the router firewall may not be enough. Did you set up a port forwarding rule?

To be able to connect to your laptop at home, you have to set up a port forwarding rule which forwards an external port of your choice to the internal port 3389 (remote desktop) of your laptop.

Let's say your external ip is 1.2.3.4 and the internal ip of your laptop is 192.168.0.20. You could then create the following forwarding rule:

1.2.3.4:55555 -> 192.168.0.20:3389

This would forward external port 55555 to the remote desktop port of your laptop.

If you correctly disabled the firewalls on your router and laptop, you should be able to get a remote desktop connection from work using 1.2.3.4:55555.