I'd be replacing:
1. Rubber Grommets that go where your rocker cover is bolted down (cheapest/easiest to do). You say there's a film of oil around the front one - replace them all for each bolt hole/stud.
2. Rocker cover gasket - still pretty easy to do (put a smidge of gasket sealer on the corner of each hump).
3. Move on to cam seals/VTEC solenoid seal. If you do NOT know what you are doing here, pay a professional for peace of mind.

In all cases, buy new and genuine parts. Sure Honda may gouge a little more but I've had bad experiences over the years with repro parts.