For the completely white area at the foot of the bed in the color mapping options turn on “Sub-pixel mapping” and “Clamp output”.
To figure out things like the little specs easily (well, relatively) yourself you should do this.
Turn on the VRay Frame Buffer
Add in Render Elements “VRay Lighting, VRay Specular, VRay Reflection/Refraction, VRayGlobalIllumination”, then when the image is done rendering in the VRayFrame Buffer, drop down each element and find out where the speckles are appearing, this should point you in the right direction 
Looks like a specular problem - agree with sub-pixel and clamp output to get rid of that overexposed reflection…to get better quality in your specular:
1. Use higher value than default 8 subdivs in your wood material Reflection tab - try 12 or higher
2. The all important image sampler: Use adaptive DMC, uncheck “use DMC sampler thresh.” and lower the Clr thresh to get the quality right (default is 0,01 which should be fine in most cases - but if you really need to get a near perfect look - lower that setting)
3. Use Irradiance map and Lightcache to get smooth results - brute force will give you that grainy look if you don’t use high quality settings..
Good call pnel, but like you said that is clearly spec or reflection grain. Try my suggestion and you should be able to easily figure out where the noise is coming from, and then if you need further help on reducing it, with that knowledge we can help better
