The number one most useful troubleshooting tool is a good toner/wand. What you have… works, but definitely get 1-2 good ones as spares, or to tone multiple lines/pairs at once. Kinda partial to Flukes, they really are worth the price premium: Fluke Networks 26000900 Pro3000 Tone Generator and Probe Kit with SmartTone Technology https://www.amazon.com/dp/B000FTADX0/ref=cm_sw_r_awdo_navT_a_NBXZW51WNVF0FADZCS4D?psc=1
Second most important would be an actual cable tester. This kit seems kinda junky at first glance, but is the best value choice… and since you’re almost certainly eventually going to bust a tester, might as well be the cheap one (these go up to basically whatever you want to spend): Klein Tools VDV501-851 Cable Tester Kit with Scout Pro 3 for Ethernet/Data, Coax/Video and Phone Cables, 5 Locator Remotes https://www.amazon.com/dp/B085LPN71C/ref=cm_sw_r_awdo_navT_a_8DE5CCYT6EB7R7ZVXYVK
The Klein covers just about all the major desired features, and can act as another tone generator (though it sucks at that). Continuity, flipped pairs, opens and shorts, PoE and I think shielding detection, and distance to faults… it’s not at a level where it could act as a true cable certifier, but for troubleshooting, I wouldn’t kick one of these off the truck.
From there, it’s a lot of personal preference stuff, but pretty much everyone needs something like the two above.
klein tools makes cable testers with nodes that you can buy. you can get up to like 20?
https://www.amazon.com/Klein-Tools-VDV526-055-LanMap-Testers/dp/B004OJDZSW?th=1
using this