I am having some trouble lining up my shapefiles - I have one point shapefile and one polygon shapefile. The polygon file is adapted from the ESRI Data and Maps 10 NUTS 2 shapefile - I broke this down to only include Denmark, Finland and Sweden. I used the North Pole Lambert Azimuthal Equal Area projection for this shapefile. I also had an excel file of climate data for Denmark (which contained longitude and latitude fields) so I added this into Arc - I exported the data and saved it as a shapefile. I then deleted the .prj file and used the define projection tool to set the projection to the same as that of the polygon file. However, the two shapefiles are not lining up.
I have read previous posts on the same issue and have attempted some of the suggestions but so far I have not been able to figure it out! I am new to GIS so perhaps I am missing something very simple. Any help would be greatly appreciated.