I also used to have problems with that kind of sliders… now I just try to avoid them.
The site looks good.
few little things that I would change:
About that search button… why not just show the text input when there’s enough space?
at the moment it requires 2 clicks to type whatever you wanted to search.
the “read more”-link (in slider) is too close to the text styling. maybe make it a bit more clearer?