Safety base

[illiniwek8]

Runner on first.....batter hits line drive to second baseman who catches it and throws to first baseman who has her foot on the orange safety base.....runner gets back to the white base after the throw....but first baseman never touches the white bag at all.....is the runner safe? Can the first baseman use the orange bag for the force out?

Also.....

Ground ball hit to first.....first baseman bobbles ball....picks up ball with bare hand and then touches bag with her glove....this seemed weird to me....I know that you can't tag a runner with just the glove....is this legal? Out?

Thanks for any input in advance.