These are well known general security issues. Alfresco Share is secure.
Whether the HTML page validates input entered in form fields before submitting the form? Yes, but depends upon form constraints.
Whether the application logic validates the input entered in form fields after form submission? Yes, but depends upon the purpose of the field. Fields may be validated against constraints in the model or application specific requirements.
Whether known good/ bad criteria defined for input and output variables ? Sorry can't understand your question.
Does all the parameters examined for valid source before including the information from outside domain in application logic? Sorry can't understand your question.
Whether the special characters are sanitized, escaped or rejected ? Examples - <, >, (, ), #, & Yes. According to their use and what is appropriate.
Whether the application accept inputs from cookies? There may be a little information in a cookie.
Is the input from cookie validated before inclusion in application logic? Yes.
Are the parametrized SQL statements used in application code for database interaction ? The database interaction is secure against sql injection attack.
Whether all the output on HTML page is properly escaped in order to avoid the execution of unwanted and unknown scripts and errors? Yes the HTML interaction is secure against Script attack.