[SCRktkt]

Here are some things to do for better looking renders:

1. Increase your Final Gather accuracy; the default for draft renders is 50. In 3ds Max, this is called Rays per FG Point, and Accuracy in Maya.

2. Increase the Soft Shadows precision on your sun as the default Samples may be too low at 8.

3. Turn on your speckle reduction, or turn it up to high.

4. Increase your anti-aliasing as the default may be too low.

In my experience, speckles like you have are usually from one light source trying to do too much in a room, leaving much of the room lit by bounced light. While it is feasible to do this via brute computing force, it may be better to add other lights into the scene. Increasing the number of secondary diffuse bounces will not reduce speckles; what it does is allow the light to bounce more times off surfaces and give the scene a more luminous feel.

Depending on what is moving in your scene besides the micro-iiko on the table, you may want to consider a composite render. This will allow you to render the environment with frozen Final Gather, and then another pass with just the iiko on a matte/shadow. You could also try turning off final gather casting on the iiko, and just let him receive. Often speckles are caused by small objects casting final gather across the room on larger things. If you need help setting up composite renders or otherwise, let me know.