Hi, If i design a search box into my site, linking it to google, does it effect my chances of getting accepted into other products of google such as ad sense? This even before i get indexed into google Thanks
Have you considered using Google Coop? You can put a custom Google search box on your site and use it with AdSense. http://www.google.com/coop/
You can put an adsense-search box on your site. The code can be created in your adsense-account. And no, google won't mind. And yes, you will make (a bit) of money off ads people get shown.
In answer to the original question, no having a Google search will not increase your chance of being accepted for other services. I suggest you read the Adsense TOS.