It looks like the graphics are probably Intel HD Graphics 4200 (I think my surface 2 is the first revision.)
For the WiFi, it looks like it might be this Bus 001 Device 007: ID 1286:2044 Marvell Semiconductor, Inc according to something I found on a Ubuntu thread … is there a driver for that?
Edit: This thread IntelR wifilink 5100 agn/Marvell Yukon 88e8040t Can't connect - #5 by Poetryfan mentions a “Yukon” driver, and I did see “Yukon” listed in the Devices app. Is that possibly something that might work?
Edit2: Is it maybe lacking the firmware? I don’t really know a lot about WiFi… it usually just works for me.