You said your projector is worked on another laptop, so the projector is find, so i think this laptop maybe had no projector driver. So try to connect the projector to the laptop, check all the port and then enter the device manager, try to install the projector at first. And you can [https://www.driverdr.com/windows10/download-and-update-drivers-for-windows-10/|view here] to learn how to install drivers. If the two laptops has the different system, you'd better see the system this projector support. Because some old projector maybe not supports windows 8, windows 10.