Converting Asp.net application to sharepoint with telerik controls and highcharts

I Have a rather complex asp.net /SQL server + Telerik and Highcharts controls, client wants to convert it to Sharepoint, I understand we can convert the asp.net application to sharepaoint using vs 2013 but I am concerned about level of success I will get. Need advice on the following 1. is it a good strategy to do conversion for complex applications? 2. I have a lot of Jquery code, will it work seamlessly if converted? 3. I have a complex database, would my database be merged into sharepoint or it will be hosted along with sharepoint database? 4. How would we manage user logged into sharepoint and their roles and rights?