Since you have an automatic transmission, I would second the suggestion to not do a full flush if it has never been touched for 112k miles. There is no such thing as a "lifetime" fluid, so regardless of how yours looks if it has never been serviced it wouldn't be a bad idea to do a slow replacement (with that said, how does it look?). Start an expedited drain and refill cycle. Maybe every 15k miles for 3 rounds? With her shifting a bit odd the pan and filter would also be reasonable to service. That's probably what I would do.
Also, as far as Maxlife goes, I bought my Camry at 60k miles and flushed out the Toyota WS with Maxlife. Simple 30k mile drain and fills after that and she shifts the same at 160k miles as she did at 60k miles. My Civic has had Honda DW-1 with 30k mile drain and fills and she shifts the same at 130k miles as she did at 130 miles. I am a firm believe that clean fluid >>>>> what fluid... except for the Honda. She gets Honda ATF and I sleep better at night.
Also, as far as Maxlife goes, I bought my Camry at 60k miles and flushed out the Toyota WS with Maxlife. Simple 30k mile drain and fills after that and she shifts the same at 160k miles as she did at 60k miles. My Civic has had Honda DW-1 with 30k mile drain and fills and she shifts the same at 130k miles as she did at 130 miles. I am a firm believe that clean fluid >>>>> what fluid... except for the Honda. She gets Honda ATF and I sleep better at night.