help for knowledge on penalty check before buying domains

hi, can anyone pls tell me -if i put site:example.com and info:example.com and also type example.com –
1.if homepage does not appear,some other page is indexed, should i buy,

2-nothing appears in info, but site operator and direct domain name show some page should i buy.

3-General way of chkng penalty,and should it be done or just looking at backlinks,archive if they are clean is enough.

eg-
DIVISION51.ORG is it penalised

thanks