The MS-Access part is fairly well isolated through the ADO interface LabVIEW uses. The only possible problems there IMHO are difficulties with possible Acess compatibilities itself such as an example, SQL statement you may have invoked directly through the ADO interface. Maybe you did use a depreciated command back then that has since been removed. As long as the only thing you do are simple INSERT and SELECT statements only, I would expect it to just keep working.
The Report Generation interface is a different beast. Microsoft manages to change the Automation interface with every version of office in a way that strongly binding applications like LabVIEW break on. There is no good way around that except not changing those methods, but that is a cause that has been lost already. You will certainly have to verify the version dependant Report Generation API VIs to still work with Office 2010 and most likely you will have to make some changes to those VIs to make them work again with the modified ActiveX interface of Office 2010. Note, that I have no experience with porting report generation to Office 2010 but I have had some headaches from porting that between Office 97, 2000, 2003, and 2007.