The government (in my eyes) only resposnsibility is giving companies a pro-business climate in order to succeed which will in turn lead to the unemployment falling.
- help students get training in the fields there is need for jobs, not only what they'd like to do (maybe everybody wants to become astronaut, but there's much bigger need for IT&C engineers, for example)
This is long term and has to be adjusted maybe even yearly. And it depends on the global prices for the input "materials" and resulted "products", since you cannot sanction imports/exports forever.
- give some help to the businesses that create jobs for long time
Various subventions or bonuses. Better get 2 people work 4h/day than one working 8h (!), since both will be more fresh for the job and you'll get to feed 2 families instead of one.
- Help people getting bigger families = more children.
Yes this means that in the future you may need even more jobs, but you also need more food, more schools, more cars, more shelter and so on. It's a cycle.
For the first portion of what you're saying, I don't think the government has much of a place in picking/advising much in terms of where people should be working. Don't get me wrong, I do want people to come out of school with a career that they can jump right into -- but I think government involvement in trying to get people jobs is JUST going to lead to a larger federal government which isn't succeeding in its task anyway (see the government getting involved in secondary school, and what they've caused in terms of price increases)
I agree with the second portion, though you don't want businesses to start relying on more and more gov handouts -- as this just leads to crony capitalism which has fully entrenched the US (and the world)
Meh, the third thing isn't really needed.
The governments only task is providing the correct business climate, anything else and we're entering a system where the government is the primary employer of people -- which isn't something that I'll ever want to see. Leave it up to private enterprise and we'll be fine.