Form fields based on custom fields

Form fields based on custom fields

I need to create a contest forms where the fields are based on values in several custom fields. The form layout is to be somewhat static, except from the contest questions (labels) and the type of those fields. Here's the basic layout.
[Label - <Subject>] -based on custom field
[Input - hidden]

[Label - <Question 1>] -based on custom field values
[Input - textfield OR x3 radiobuttons] -based on custom field values

[Label - <Question 2>] -based on custom field values
[Input - textfield OR x3 radiobuttons] -based on custom field values

[Label - <Question 3>] -based on custom field values
[Input - textfield OR x3 radiobuttons] -based on custom field values

[Label - Name]
[Input - textfield]

[Label - Email]
[Input - textfield]
Tried something like this with Jetpack forms. But can't get it to work. The output is correct, but the form wont submit.
Suggestions on how to solve this? I've looked at a couple of different form plugins (GF, CF7), but have not found anything that can do this.