Change in Permalinks broke functionality

So I took over a wordpress site, and I changed permalinks from “?p=34” to “post-name/”. However, one of the pages don’t seem to process the query fine and it gives 404.

It used to be http://exlogue.com/?page_id=60 and now it’s http://www.exlogue.com/set-availability/

With the query string, it used to look like http://www.exlogue.com/?page_id=60&time=3&day=1431216000&action=set_schedule

But it didn’t work when I changed the link to the following and similar links but it didn’t work: http://www.exlogue.com/set-availability/?time=3&day=1431216000&action=set_schedule

I can’t add a question mark if I want to have a custom page name for that page. Does anyone know why query string doesn’t get processed as the other one.