Hi Louis and Olivia,
Sorry to learn about your eye problems. Have you seen a Doctor to get some treatment?
There are some fine Doctors around. Not so expensive. I think you need to get some medical attention/advice.
Anyway concerning your questions on visa applications see the UKBA webpage Applying from outside the UK
Review the information and then follow the links to Applying for a UK visa in the Philippines
Please do take time to read these pages as there is a lot of key information on how to apply, how to book an appointment and importantly how to pay the fee.
If you look to the right hand side of the page Applying for a UK visa in the Philippines you can see a link called 'apply for a visa online' just under the heading 'Do It Online'
Clicking that link will take you to the VFS website Online Visa Applications
The forms you mention are the correct ones.
Good Luck and get that eye looked at.