Is it possible to be ranked well for less searched keywords and sandboxed for more popular keywords. I have a new site that was indexed and ranked (# 4 in Google) within a couple of weeks for a less popular keyword, but I cant find it under more popular keywords.
Different phrases have different levels of competition. A particular page on your site might rank #1 for "Welcome to XXX Ltd" but rank nowhere for "viagra" because of the fierce competition for the latter.
Sandbox?! Your question does not really have something to do with the sandbox.
Searh here: http://www.seoking.eu/seo-search-engine/ for more information on the sandboxand how to get out of it: