When I try to create a new form, I get nothing. All my permissions are in order (I cranked them all up to 777). I don’t have any plugins running that look like they’d cause any problems.
It sounds like the wp_ajaxsearchpro and the wp_ajaxsearchpro_statistics tables were not created when the plugin was activated.
Try to deactivate and activate the plugin again, it might work.
If not, then please try to check with your phpmyadmin if the above mentioned two tables exist in your database, if you can.