Yes, I would be surprised if a Libertarian advocated welfare.
Yes. I am a libertarian and it goes against everything we stand for. We believe in private charity such as churches, private individuals, and private parties to provide welfare services, not the government. If you support any kind of big government program like welfare, you are not a true Libertarian.
Yes, people shouldn't be forced to accept contraceptives.
If you want someone to provide a service to you that goes against their religion, you are out of touch with reality. If you want a job that gives you free birth control, get another job. If you want birth control, then go to Wal-Mart and buy it yourself for 9 bucks a month.