I owned a 1976 XJ-12 in the UK, the 40th made with fuel injection. The car was absolutely reliable, with the only problems being associated with the ignition amplifier. This was mounted in the centre of the 'V' of the engine block, and as it was sensitive to heat, tended to quit. Once allowed to cool down you could be on your way again, but the only long-term cure was to replace it. There should be kits available to allow mounting of the unit on the front shroud panel as per the later cars, if this has not been done already. Otherwise, check the oil level religiously every day, change oil and filter every 3,000 miles, check the coolant level when you check the oil, maintain the coolant at the recommended concentration, change every two years. Basically if you follow the factory recommended schedules all should be well. Keep an eye on belt for tightness and condition, always keep an eye on the temperature gauge.
If you have a good 'un it should stay that way. You can never be sure how a previous owner treated the car, but if it is fine now, it is easy to keep it that way. It's a beautiful car, you're a lucky man. Enjoy!