Ok...
1) You can quickly increase the DA/PA by building spammy backlinks.. Get AA lists for SB and run it for weeks.. within a month you will have 100,000 backlinks and your DA/PA will rise rapidly (40+).
2) If you are buying an expired domain, it is important to check the metrics like DA/PA/TF. However, this is just to shortlist the domains. shortlist domains with good metrics.
3) Next step is to check for google ban.
4) The next step is to check the backlink profile, you can use Ahrefs or Majestic to check the backlink profile..
5) Look for high authority quality and contextual backlinks. if domains don't have any quality backlinks, then just ignore those.
6) If you find domain names with such powerful backlinks, then check for the other end of the backlink profile.. If it has too many spammy backlinks, like viagra forums or prescription drug forums, then leave those domain names.. However if you get such domain names for pretty cheap with excellent metrics, then you can buy them and disavow the bad backlinks through disavow tools in bing and google.
Don't get excited during auctions. If a deal is too good to be true, then it isn't.
As far as this domain is concerned, just forget it and move on. And finally, you have to be objective with SEO, you cannot crib about non-performance when you don't even know how performance is measured. If you are not targeting specific keywords, how will you measure the website performance? and how will you work on seo?