No, it isn't. That's the "social" part of social liberalism. Unless you're just talking about pure economics and the ownership of the means of production, in which case social liberalism isn't an economic theory to begin with, and none of what you're talking about has anything to do with socialism.
The idea that everyone should have some basic level of support, leading to welfare programs and universal healthcare and the like, that's a socialist concept.
Again, false dichotomy. The socialist ideal is to maximize individual freedom. That's more or less the entire point of Marx's work, for that matter. Many of the socialist states have ended up not following that ideal, but that doesn't mean the ideal doesn't exist; socialism emerged as a counterpoint to the excesses of capitalism, to create a society where everyone could be free, not just the wealthy. Idealistically, in any case.Anyway, social welfare and maintenance programs to aid the downtroden is only socialist if they were conceived from socialist ideals, if they were conceived in order to maximize individual positive freedom they are social liberal.
Marx's ideas weren't bad. The problem is that the socialist revolution he theorized never happened. Instead, groups espousing socialist ideals led a revolution that put them in power, at which point they became totalitarians in the new bourgeoisie. If a Marxist revolution had truly occurred, there could be no such group; the true socialism is run by the workers, not by "The Party".
The idea that the welfare of the workers is important boils out of these ideas. That's the origin. It's all socialist. Later variations might discard OTHER aspects of other variations of socialism, but that does not mean the origination of the ideas aren't socialist at heart. If your society is supportive of the proletariat, it's socialist to some degree.