Oops, just saw P2o's post that you have a 15 incher, which has hdmi. I thought somehow you had the 13. So, take the rest of this post with a grain of salt. Wait, that first sentence didn't seem to come out right.
What you have is basically a netbook touchscreen tablet.
No dvd,rgb,vga, hdmi ports. Only 1 usb and 2 a/v type port using thunderbolt, which is a mini sized connector. You would need a combo breakout cable of thunderbolt to whatever you're trying to plug into, such as your monitor which may be 15pin rgb (some people call it vga-but I think that's incorrect).
Anyways, most likely, the thunderbolt port may allow audio/video both ways. Not in every case, depends on the computer build.
Here's something easy and weird to try. Turn on the laptop, plug it into your desktop usb 2.0 port using a standard m/m usb cable if the desktop has that port, but a 1.0 usb port could still work, then turn on the desktop and see if the desktop will come up at all and recognize the laptop as anything like a keyboard. I don't think there's any power issue risk and the worst that could happen is nothing will show up.
If you're very lucky, the laptop may trick the desktop into thinking it sees a wired keyboard and will get past the wireless usb issues stopping you and boot up normally.
I'm pretty confident that your desktop will boot up normally with a wired keyboard.
gl
External I/O Ports
2 Thunderbolt™ 3 (Data Transfer up to 40 Gb/s, Power Delivery, DP1.2, HP Sleep and Charge); 1 USB 3.1 Gen 1 (HP Sleep and Charge); 1 headphone/microphone combo
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