Language selection is a site-wide property. You'll want it to apply to other pages too. Feedback type is an activity sub property. You only want it to apply to this activity. Don't mix their selection. It's confusing.
If you're supporting multiple languages, you need to guess the language from browser information, and then allow the visitor to change it - the idiom of a row of flags with the language name written below them, in English, is widely used. Carry that information from one page to another in the query string, e.g. using &hl=en.
Here's a somewhat extreme variation on region selection:
Without the disable_redirect you won't see the language choice, but the flag for currently selected language will take you to the full language selection. Also watch for distinction between language and region. Selecting the Irish flag gives English (spoken more widely than Gaelic in Ireland) whereas France gives you French.
If you're expecting feedback in multiple languages, then presumably you're expecting significant volume of feedback - and the likely number of types of feedback you will want to distinguish in time will grow. Radio buttons to select which type can initially be on the same page as the feedback form and set which fields to show. Later, if the feedback becomes more finely categorized and the forms more varied, on a page preceding the textual feedback.
Have a look at these for feedback type selection:
The way the radio buttons when clicked lead to more precise explanations of the kinds of feedback is very well thought out, not overloading the visitor with information.