I'd probably recommend against automatic sliding for any sliders except image / light content carousels.
While certainly the site doesn't have a lot of content, you still want to make sure that visitors have the chance to read each page, or that if they go to another tab, program, whatever, and come back they aren't all of a sudden on another page (i.e. you want to manage their expectations)
I'm not seeing any lag between those slides, maybe you fixed this already?
I'm not sure what you mean here, are you talking about the links to other internal pages? If you're using a different slider it's likely there will be a different syntax for it now. (Take a look at the Cross Linking section here: http://www.ndoherty.biz/demos/coda-slider/2.0)