Problems with method and if/switch statements [on hold]

Having a hard time getting this to work. What I'm trying to get is a confirmation via boolean that the date entered as (ex; 1 1 2000) is correct or (1 1 3000) is incorrect, and print invalid year or month. Then, I was trying to use a switch statement for the validation of day. However, I need a return value at the end, so I tried setting a boolean variable, but that still didn't work. 10 hours of looking at this, and I can't get it. Any suggestions? Thank you! Apologies of the mess. It's been a rough night.

public static boolean Date(int month, int day, int year) {
boolean statement;
if (year<1582||(year>=2015&&month>3&&day>8))
  System.out.println("Invalid year.");
  statement = false;
else if ((month>12)||(month<1))
  System.out.println("Invalid month.");
  statement = false;
else
 switch(day) {
  case 1-28:
      if (month==1||month==2||month==3||month==4||month==5||month==6
        ||month==7||month==8||month==9||month==10||month==11||month==12)
   statement =true;

     else if(month==1||month==3||month==4||month== 5||month==6||month==7
                ||month==8||month==9||month==10||month==11||month==12)
    statement =true;

case 29:
  if (month==2)
    statement = isLeapYear(year);

  else if (month==1||month==3||month==4||month==5||month==6||month==7
             ||month==8||month==9||month==10||month==11||month==12)
    statement =true;

  case 30:
   if (month==2)
    //statement = false;
    statement = false;

  else if (month==1||month==3||month==4||month==5||month==6 ||month==7
             ||month==8||month==9||month==10||month==11||month==12)
    //statement= true;
    statement = true;

case 31:
  if (month==1||month==2||month==4||month==6||month==9||month==11)
    //statement = false;
    statement =true;

  else if
     (month==3||month==5||month==7||month==8||month==10||month==12)
      //statement=true;

   statement =  true;

  }
 return statement;
}