I wanted to know how it is possible to get out my website from google sandbox? Is there any ways to check whether a website is in sandbox?
To the best of my knowledge, waiting is all you can do to get out. While you're waiting, however, it would not hurt to get (quality) links pointing to your site.
They will kick you out if you have one good link, try to find one that is decent relevant, and has some pagerank too boot. You can get hundreds of low class links and spend months in their playpen
Its getting harder by the day to get out, they are slowly closing off any chance of anyone ranking. Check the link in my signature as a way to get a load of links, iv used it lots and it seems to work wonders.
Google sandbox is like a probation period for the new websites that they don't appear in the SERPs for most of their key phrases. The idea is to discourage spam websites to rise quickly in the SERPs and encourage news websites to appear in the SERPs using legit optimizing techniques. The probation period lasts from 2 to 6 months. You have been working on your site for just 2 months. Its too early to get excited. You should wait and work hard on your strategy to secure good rankings.
You should continue working on your site, add new content and get good quality back links then google will see how commited you are withyour site.
You can try searching for your site using "site: domain.com" on Google to check if your site is still being indexed. If it is, then just continue building links to your site. Also check your content and make sure your content is high quality and informative. Hope that helps. Have a good day!