I am using Google Custom Search box with below code
<div class="cse">
<form action="http://www.google.com/cse" id="cse-search-box">
<div>
<input type="hidden" name="cx" value="xxxxxxxxxx" />
<input type="hidden" name="ie" value="UTF-8" />
<input type="text" name="q" size="30" />
<input type="submit" name="sa" value="Search" />
</div>
</form>
<script type="text/javascript" src="http://www.google.com/cse/brand?form=cse-search-box&lang=en"></script></td></p>
</div>
However as now going to shift all pages to https - has to replace the code
<div class="cse">
<form action="https://cse.google.com/cse" id="cse-search-box">
<div>
<input type="hidden" name="cx" value="xxxxxxxxxx" />
<input type="hidden" name="ie" value="UTF-8" />
<input type="text" name="q" size="30" />
<input type="submit" name="sa" value="Search" />
</div>
</form>
<script type="text/javascript" src="https://cse.google.com/cse.js?cx=' + cx/brand?form=cse-search-box&lang=en"></script></td></p>
</div>
Can anyone help and assist if the above modified code is correct
That seems like it should work, but you should consider switching to the Custom Search Element --- It's the modern, supported way to use Google Custom Search