My experience was 2 decades ago, but may be of interest - dd1 was an emergency c section, after a failed induction at 16 days overdue - a sweep and a pessary, and a distressed baby. All fairly grim but dd was safe. She was back to back, had a big head, was 4.25kg, and I was later found to have a narrow pelvis - all negatives - she was never going to engage, let alone trigger labour.
With dd2, I was again induced, at 7 days overdue, this time with my waters being broken rather than a pessary, which triggered active labour. Again there was no likelihood of labour starting spontaneously. With the help of very supportive midwives, and a very gentle doctor, on the day she emerged via a ventouse delivery, also with a big head and at 4.24kg. I'd had a very negative consultant and community midwife during the pregnancy, who had muttered about brain damage which really did not help, but the hospital delivery team were excellent. It made a massive difference to me.
Recovery from the emcs was long and difficult, both physically and mentally, though this was not only due to the traumatic birth. Dd2's birth was better, not just because of the vaginal delivery but more because I knew what to expect, the midwives listened to me and explained what was feasible and what was unrealistic, so I had an epidural again, even though I knew that made an intervention more likely, but it also meant that if an emcs was needed again I would at least be awake. The ventouse meant legs in stirrups, on the bed, but it was much less 'industrial' than the operating theatre, as I stayed in the same room. At the end of it all, dd2 and I were wheeled along to the ward in the bed, feeling like a queen, rather than me being wrapped in duvets in recovery, with no idea of where dd1 was.
My physical recovery was much quicker with the second birth, though the locchia was so much heavier, and I was able to cope much more easily, even with a 3 year old dd1, no open wound, fewer stitches, being able to drive, to be honest there were no negatives to the vbac for me, but of course that was a very individual experience, and your body is different.
So in answer to your questions, 1, yes, I was successfully induced after an emcs, 2, yes, my cervix was closed prior to Dd2's induction, and finally 3, a qualified yes, dd2 was born vaginally, albeit via ventouse, (though that felt like a triumph to me)
Good luck with everything op, I hope all goes well for you and your baby