error: error:0909006c:pem routines:get_name:no start line

You are probably using the wrong certificate file, what you need to do is generate a self signed certificate which can be done as follows

openssl req -newkey rsa:2048 -new -nodes -keyout key.pem -out csr.pem
openssl x509 -req -days 365 -in csr.pem -signkey key.pem -out server.crt
then use the server.crt

   var options = {
      key: fs.readFileSync('./key.pem', 'utf8'),
      cert: fs.readFileSync('./server.crt', 'utf8')
   };