I would NOT bother running ARX or Red Line.
If you have just bought the vehicle, better to spend your money on PVC valve if required, spark plugs, ignition leads, transmission fluid/filter change,power steering fluid change, diff fluid change, fuel filter, air filter and change the radiator coolant. (Unless the trans, power steering and diff are fill for for life.
I would also run the Chevron Techron 5000 injector cleaner just to give the injectors a clean.
For the engine oil I would use an OEM approved group 3 syn oil (SN) rated oil. Change the oil filter every 1200 to 1500 miles to prevent it from clogging up when changing oil brands, as this tends to remove the old varnish layers and then later it will place its own coating. Then full oil and filter change at 3000 miles. Do one more OCI like this.
The above is just IMHO and observations from my time BITOG.
As you are already into the ARX cycle. Just finish this one and do what I said above.