I assembled my boards last night also, and confronted the same problem.
I quickly realized that with such small "eyelets" on the board, the only way to be sure of a good solder was to ensure that it flowed through the eyelet and puddled a little on the top as I clearly see we both were able to do.
However, it wasn't pretty-the only tip that I have on my iron (Weller WTCP station) was a little big for the job-too big for the eyelet- so I filed it down after a little while.
They don't behave like the old only copper tips I'm used to. Seems like the silver outer layer is much easier to flow solder with! I was able to do OK with it (done @1:30am) but I wish I'd have had a better tip.
Should be auditioning soon.
Regards, Phil