If the little bugs are slender, thrips is a possibility. Most beetles are not slender and have significant width to them.

Could be sap beetles and if so it is indicative of over ripe berries. Likely you just need to pick every other day.

See pic. very small beetle looking critter with (4) white patches on it's back. Prefers very ripe berries (just like I do!)

I believe that's a wood boring beetle. But I'm not sure...I can certainly say I've seen this one before.

Sap beetle (more completely, sap-feeding beetle) is correct.

http://bugguide.net/node/view/540556/bgimage

^ is most likely, as it is very common

http://bugguide.net/node/view/36523/bgimage

^ possibly this, as it is greenish, unless your green is from a flash photo or reflecting a nearby green object.

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Boring beetles are larger, do not have clubbed antennae.

I concede. I think it the first one (Glischrochilus quadrisignatus).

Is there an effective chemical treatment for this bug?

google beetle+control , that will get you a lot of organic and chemical options.

Adult beetles are a lot harder to control than eggs or grubs.