I wonder if you have everything back as it should? You pull the stem out to set time. Then wind it until it shift date. Put the hour hand at 12 a clock . Wind it one more time 24 hours and see that it shift right. With the hour hand at 12 set the minute hand over the hour hand. Then it should work. If not there is something wrong.
Some movements will "quick change" the date by pulling crown out to first click (2nd position?), then turn the crown counterclockwise. I'm not sure if your ETA does that, but I'm pretty sure that many ETA quartz movements use this feature. Good luck.
Just look at this. Marriage its more like a divorce. See how the dial has been butchered in the centre to accommodate the centre wheel, which the hands are attached.
I don't recall what's in there but DeCarle is normally a good source of info. Jendritzky's book is pretty good, I haven't seen it yet but Archie Perkins is a sort of lathe guru so I'd recommend his book without hesitation. I haven't seen any youtube videos that show actual good technique, most are pretty hackish. AWCI has some good videos from Ron DeCorte.