You parents will be the applicants and they will need to attend and submit the paperwork at the VFS Application Centre (Manila or Cebu)
Once the application has been submitted online an appointment will need to be made with VFS
It's really a question of timing and personal choice.
Probably the safest route is to send all the needed documents once the applications have been submitted.
The main concern is making sure that payslips and bank statements are not older than 28 days on the date of application (date of visa fee payment).
So the appointment at the VFS application centre (booked online) needs to be timed for that.
Yes, that's allowed for. The online form will ask if you are filling out the form on behalf on someone else. No problem at all
Yes, no problem at all. That's virtually standard practice these days.