Yes to all 3 questions.
Each applicant must apply for a visa
- even in cases where a 'Family' Passport exists
Multiple reasons can be given that must be specific to each applicant
Tourism and Business
Field 33 is where the sponsorship should be noted
- other (please specify):
- the extremely tiny area could be used to reference an accompanying letter
- check All expenses covered during the stay
Submitting all applications togeather may avoid multiple copies of the needed documentation. A covering letter with the sponsor Application stating that they are sponsoring their spouse/children would not harm in case the applications get separated.
Family members of EU-Citizens that need a visa
- do not need to fill out the Fields that contain a '*' before the field number
- but instead must fill out the Fields 34 and 35
As a general statement (made as a comment to this question)
If for instance your wife is a EU citizen, you don't need any visa.
is only correct when the answer to the following question is yes:
Is the visa applicant accompanying or joining the EU citizen?
- accompanies (i.e. travels together with) an EU citizen:
- joins (i.e. travels later than) an EU citizen:
The Directive seeks to facilitate and promote free movement of EU citizens. It does not apply to mobility of the family members if there is no link to a mobile EU citizens, for example when the family member travels alone to a Member State in which the EU citizen does not reside and will not travel to.
2.3 Visa exemption under the Schengen Borders Code
gives the following sample:
A Slovak citizen resides with his Chinese spouse in Ireland. The Chinese spouse holding a residence card, issued by Ireland under Article 10 of the Directive, travels alone to France. As she travels alone, she needs to apply for a visa to enter France
Information is based on:
Usage of the term EU citizen: EU/EEA and Swiss citizens.