JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
We believe that if one user has a question, there could be more users who may have the same question. This is why many of our support forum threads are public and available to be searched and viewed. If you’d like help immediately, feel free to search for a similar question, or submit your question or concern.
I believe you do not need an email server. You can use our own default emails as the sender email for the notifications or autoresponders. Here are the guides on how to setup your email notifications and autoresponders:
If you wish to embed your form on a website, you can easily do that by using the embed codes. Here's a guide that you can follow: http://www.jotform.com/help/34-Adding-a-Form-to-a-Web-Page. There are also other platforms where you can share your forms.
Do let us know if you need further help on this.