1. You can use our 4x8 HDMI matrix extender. It has 4 outputs, every output has one UTP extension output, and you can chose the different extensions and support KVM function (with which you can control PC) or not.

2. Yes, we have product 4x8 HDMI matrix w/ extender can meet your requirement, it can routes 4 sources to 4 outputs.

3.Yes, the 4x8 HDMI matrix with IR extender(HME040806R). It is a 4 inputs 4 local HDMI outputs and 60M UTP extension outputs, easy to route 3 sources to 4 rooms.

4. Yes, we have HDMI matrix 4x8. it have 4 UTP output , so you can use HDMI extender to receive the video of the input sources in 4 rooms.

5.Yes, if you don't want to control PC and just want to view the picture of the PC in 4 rooms, we have 4x8 HDMI matrix with extension (HME040806R) support 4 HDMI inputs and 4 UTP extension outputs. If you want to control PC with USB keyboard and mouse in some rooms, then I can chose some special receivers that support USB keyboard and mouse for you.