I believe the idea is to promote responsibility

Yes - which Planned Parenthood does, among other help groups. Girls need to learn how to avoid pregnancy &c. Criminalizing abortion between weeks 7 and 12 is a police state tactic, not a promotion of responsibility.

It's kicking the ladder (of life) behind you, so to speak

Yes - which is why abortion laws address the problem of when life really begins. The Church argues that it begins at conception. Others have said that it begins with the initial processes of cognitive development (12 - 24 weeks), and religious legislators in Texas have criminalized abortion after the moment of a beating heart, around 6 weeks.

I'm not sure why hospitals and local clinics are not doing Planned Parenthood's job, or why we need this separate institution

Agreed

What we have here is women determining what is best for a future human being, not just their own health. It's the mother's health for 9 months vs. the full life of a human being, medical anomalies and exceptions aside.

Yes

The choice of women is really at the time of having sex.

Women sometimes don't have this choice, or don't understand what's happening, or tried the wrong birth control method, or whatever. They cannot be kept in burqas and shut inside all day, in find other ways to avoid men. Indeed pregnancies increase among girls who don't understand sex.

no reason to be irresponsible with sexual encounters anymore.

Depends on where girls are learning about sex

men should also be held accountable and punished.

Sounds good - but one could argue that men are many times more irresponsible about their roles in sex, and criminalizing their activities - while fair - could create many other problems, especially related to misogyny and other forms of hostility that are growing in polularity among boys & men. Long gone is the "new age sensitive man". Boys concepts of sex are now widely influenced by pornography, much of it about dominance. 40 years ago, most kids saw porn in the form of a few copies Playboy in someone's dad's attic, and had to learn the rest in person.

having sex with no responsibility creates an immoral society

Agreed - and this is perhaps for another thread - but there is a long ethical debate about - essentially - "one's right is another's responsibility", which normally addresses civic responsibility, rather than sex, love &c. (Alasdair MacIntyre and Charles Taylor have written at length about it.) But more generally, most people (of 7.6 billion, and historically) who become pregnant or cause pregnancies aren't - in my view - thinking responsibility until afterward, at best.