What to put on an application form?

I found a posting for a transfer pricing consultant position with a big 4 firm overseas. I found it through a third party job site and cannot find it (or any other entry level positions) on the firm's own website. Should this be a red-flag that it's not listed on the firms own website?

Since I can't find the listing, I have to apply through this third party job website (and you can't simply submit resume/cover letter) and must fill out their form to submit. Under the Professional Profile section there are two entries, "specialties" and "career objectives." Since I am applying for an entry level job with little background what do you think I should put down for specialties? Should it just be coursework?
What should I put down for career objectives? Should it just be that sentence that some people put on their resume (I don't use this on mine) that says something along the lines of "To find a job in the field of management consulting."

There is space for about a paragraph for each of these sections, but I'm not sure what to put. I'm also considering contacting the recruiting contact and saying I'm having trouble with the third party website, can I just send you my resume. But I'm worried that this might look poorly upon my basic technical skills. Thoughts?

Thanks for any help!