what series LTD? generally speaking they have a simple number convention 200-1000 but the basses seem different. at which point it's up to the pickups to tell where it was made and where jump in quality occurs - were they ESPs or EMGs?
broken truss rod should have been replaced immediately and covered through your local shop's warranty (most places offer 30 days). crummy strings are your own responsibility. you should have recognized the tone being flat when you tried it before dropping cash - again your responsibility
keep in mind that LTDs run from about $200 on the lowest end to over $1000 for their deluxe series. where there's a significant price range there's a significant quality range.