In the olden times, before the advent of latex, prostitution would lead to insemination of women and uncontrolled population growth. There could have been a number of kids - difficult to feed, and a massive strain on resources. Therefore, probably best to stamp sex outside marriage, paid or free, as something evil and prevent random kids from popping everywhere. Only those kids that have been had through sex after marriage so that there is a greater chance of one raising that child as well.
In the modern day, there are some of the issues you have mentioned such as trafficking and exploitation. Women in poorer countries can be legitimately forced into prostitution simply because they have no money. As much as you want to call it their choice, it is still exploitation of the poor.
Lastly, prostitution, male of female, means objectification of either gender, which is not good. Identifying a gender solely as a sex object is probably not good for society.
Not all prostitutes do it because they want to, but many do. You should come up with something more inclusive. If, for whatever reason, I feel like whoring myself for some extra cash, that's not your business and it shouldn't be of any government's , either.
I don't know why you think so. Prostitution by itself is just a job. The way people make assumptions about prostitutes is the problem you should tackle.
I never said every man woman offering their body for money are forced by a pimp or some criminal. Some are. And governments need to ensure no one is. There may be other people for whom making decent money isnt an option so prostitution makes sense for them. May be it means society at large is forcing them. No one is trying to stop you. They may be trying to stop someone, anyone getting exploited.
To your second point - possibly you are right, but till the way society changes how it looks at prostitution, it may continue to be objectification of people in that business. Unfortunately, it isnt anyone's concern that you want to get quick and easy sex. It is however the concern of people that objectification stops first and then whoever wants to be a prostitute can be one and whoever want to use their services can do so. May be that is why in some countries it is legal, and in some countries, pimping is illegal, prostitution isnt. Escorts are mostly legal in most developed countries.
I agree, and that's why I think it should be legalized. There are people who willingly choose this job, and I felt they shouldn't be forgotten in this conversations.
Also, treating prostitution as if it does have inherent objetification only pushes humanization farther, in my opinion. To other people, they'd interpret like you're confirming it.