I think the old ALAN's are great frames and give a remarkably comfortable ride. I think you have everything to give you that top of the line classic bike. As you are well aware, all it needs is a clean and grease plus those little bits and pieces to get it going. Those bright frame features clean up to a sparkling finish with a little work with some metal polish. Everyone above have provided great advice.

If you have a close look at the top of the seat tube you may find a number - I think it may be on the right hand side. This is the frame's date number (if it is there) and gives you the month and year of construction. Your frame may prove to be an earlier manufacture than the groupset but who cares, the groupset is a classic just like he frame.

The old Campy hubs are easy to pull apart but a couple of cone spanners will be needed. The hubs tend to last for years with a little care but an inspection of the bearing surfaces and balls will tell you if there is life still in your hubs. It is possible to change the bearing surfaces by easing them out with a punch but finding a replacement set may be difficult. I haven't done this on my hubs for quite a few years now so I have no real knowledge of their availability. Hopefully your hubs are fine and they will still run OK if there is a little pitting and wear and probably good enough to get you to your favourite cafe to show this old classic off.

Oh yeah, put the hub over a plastic bucket/container when you pull the axle out as the ball bearings can easily be set free to have a life of their own away from the hub- haha.