There certainly is work to be done on the problem of speciation. My colleague I mentioned works on certain issues in the problem of speciation: he studies sympatric speciation, where new species form in the same ecological system from a parent species. (This is therefore different than allopatric speciation, where a species finds itself occupying different ecological systems, and speciation occurs when one of the ecological systems changes over time and the population in that system changes with it. If I'm not garbling this. What's interesting is that there are few examples of sympatric evolution.)
Yes. This kind of thing. Lots of issues remain about details of mechanism and what scenarios are most common, etc.