Get a FEC done next week. If he’s really that thin, I’d want my vet to come do a wellness exam on him anyway, and get a manure sample to do a proper FEC. If the horse won’t offer up his own sample the vet can reach in and pull a sample out. At least find out if he’s loaded, or actually pretty good.
If it’s pretty good, I’d go with Quest Plus and just take care of everything you can’t see, and what might be a bit more than a FEC shows. If a horse is truly loaded, you’re not going to get a low or clean FEC, so even a moderate count wouldn’t bother me with Quest Plus.
If he’s sky-high, then maybe double Strongid to start to hit tapeworms and maybe some strongyles (but maybe a lot of them, all depends on the resistance), and then in 2 weeks ivermectin to hit bots and finish the strongyles. Then do another FEC in 10-12 weeks to see what’s what.
Quest Plus does do all the things - adult strongyles, encysted strongyles, bots, tapeworms, neck threadworms. It does pinworms where there isn’t resistance, but you’d know if you were dealing with pinworms.
As the leasee, I would assume you are responsible for basic vet/farrier/deworming/dental/vaccination costs?