If you can get the passport, then personally I'd say go :-)
I've had two planned sections, and was fine within the week, back going to social engagements etc, having friends round for dinner, meeting friends, going out for meals etc.
You'd need to check about travel insurance, especially if you have a section or a complicated birth, as some companies get funny about it before your 6 week check.
Yes you "might' still be leaking milk - that's what breast pads are for (and I still get leaky moments a year later, so you may as well get used to it early).
Yes, you "might" still have lochia. Mine stopped after a week or so, but I think it's often about 6 weeks with a vaginal birth. But given its just a long period the first couple of days might be heavier - it equally might not), then as long as you're sensible with clothing choice (no white ;-) ) and use pads, it's no barrier to going out.
In reality everyone is different, and everyone's experiences are different, and you know yourself better than we do. Some women barely leave the house for weeks. Some go out every day from very early on. Some of that is due to healing speed etc (though don't assume that vaginal = faster healing than c section), some of it dependant on people's personalities.
Personally, I'd go, and would plan to down few days sightseeing whilst there, but I can appreciate that it's not for everyone.