How to deal with the box across pages?

Dear all,

I using the FOSI and the APP source edit for the box, but when the box across pages, we lost 2 line, can I add it in the source edit? thanks!

the APP source:

the example is:

var fish = formatting.fish[ template.stylerFish ];
var block = arguments[0];
var paragraph = block.defaultParagraph;
var style = block.defaultStyle;
var contextProp = arguments[1];

//Create a rule to apply to the block
//Rule is 2pt thick, solid, red and applied to all sides of the block

var rule = new fRule;
rule.sides = fRule.SIDE_BOX;
rule.thickness = "2pt";
rule.lineColor = "red";
rule.lineStyle = fRuleLine.LINE_SOLID;

//Apply the rule to the block
block.rules.addRule(rule);

//Add some padding to the block to provide some space between the rule and the content
block.paddingTop = block.paddingBottom = block.paddingLeft = block.paddingRight = "3pt";

and the "box" also can get the border:

var block = arguments[0];
var paragraph = block.defaultParagraph;
var style = block.defaultStyle;

//Apply a -2.999pt rule to the block to offset the main rule
var rule = new fRule();
with (rule) {
   thickness = "-2.999pt";
   lineColor = "None";
   sides = "tblr";
}
block.rules.addRule(rule);

//Apply the main rule to the block
var rule = new fRule();
with (rule) {
   //Line thickness
   thickness = "1pt";
   //Line colour
   lineColor = "Black";
   //Sides (top, bottom, left and right)
   sides = "tblr";
   //Fill colour specifies background for boxing
   fillColor = "#FFFFFF";
}
block.rules.addRule(rule);

//Apply a final rule to the block to remove the offset
var rule = new fRule();
with (rule) {
   thickness = "2pt";
   lineColor = "None";
   sides = "tblr";
}
block.rules.addRule(rule);

the FOSI source:

boxing toffset=3pt boffset=3pt loffset=2pt roffset=2pt thick=1pt inclr=#FFFFFF

Can I add the lines for the end/head of pages by update the source? Or could you give me any tips please?

Your assistance will be highly appreciated in this regard.

Thanking you