Sending data from FPGA to PC via PS2 port

Dear friends,

I am currently doing a project, and due to the FPGA board limitations, I have to send data from FPGA to PC via a PS2 port.
I want to ask;

1- Whether its possible or not (sending data from FPGA to PC via PS2 port)?
2- If its possible, what physical connections I have to alter or change? (that is because the FPGA PS2 port and PC PS2 port have sourcing Vcc pins)
3- If points 1 and 2 are solved, and I make a driver on FPGA that sends any keystroke to PC, do I require to keep my FPGA turned ON and the PS2 cable connected at the time of reboot of the PC?
4- Please share any extra information or material which is helpful in writing the required driver/code on FPGA (i.e., sending any keyboard keystroke to PC via FPGA).

Thanks

1 - Yes it is possible, the mouse and keyboard does it, but might take a bit of software on the PC side;
2 - PS2 uses 3 wires, basically (DATA, CLOCK, GND), with a 4th wire for powering the device itself, which you don't need with an external power supply;
3 - a keyboard/mouse is usually reset at pc startup, you need to implement this in you design (if I'm not mistaking there is a command that is sent to the device on the PS2 bus);
4 - google is you friend, you can find the vhdl code for PS2 very easy, also the protocol description is out there.

Thank you so much :)