If you are hand soldering there shouldn't be any problems (sometimes a little bit more difficult because of higher solder melting point). In a Reflow situation there might be a problem because of the higher temperatures needed with lead free solder could damage some components. Each part would have to be looked at individually with the solder process.
Leaded solder with lead free components
Again, if you are hand soldering there shouldn't be any problems (sometimes a little bit more difficult because of higher soldering temp needed for the component). In a Reflow situation there might be a problem if the higher temperatures needed for a component to bond to the solder are not reached. Each part would have to be looked at individually with the solder process.