Getting no responses from professor
This is an unprecedented time in academia, and your best course of action is probably to just wait awhile for your professor to catch up on his emails. 

As a professor myself, I have several emails left over from the just-ended spring term that I need to respond to.  My college announced that there will be cuts to staff, which haven't been finalized yet, so it's possible I won't even be employed here next term.  My kids' school and daycare are closed, so on top of childcare I might have a couple of  hours each day to do work-related things.  And I don't run skype anymore since discovering other, better options, so if anyone in my old skype contact list is contacting me, I wouldn't know about it. 

In other words, if your professor's work-life situation is anything like mine (and many, many of my colleagues at other institutions, judging by their social media posts), he just hasn't gotten around to your email yet.  It doesn't have any bearing whatsoever on his thoughts about your graduate application.  You've got until July for applications, so give him another week and then try emailing him again with a polite "just in case you missed this" nudge--that usually does the trick.