Considering that the General Assembly is controlled by socially conservative Republicans, there is no doubt they will attempt pass some more pro-life bills in the near future. When they do, the media will ask the candidates for Governor if they would support such bills.
2) Nothing will happen until Roe vs. Wade is successfully challenged, and that is still at least a few year out.
3) Any attempts to change current law will be small steps and KBH has always supported laws against partial birth and late term abortion.
She would make a far better governor than Perry.