I looked at Vilseck on Google Maps, and it looks like your best bet is the A9 (A = “Autobahn” = Highway). The problem is getting to the A9, the roads connecting Vilseck seem to be of the smaller variety, where you can only go so fast, and usually have a tractor of some kind in front of you.
That said, from Nuremberg to Munich the car trip would take about 1,5 hrs, while the train trip would be considerably shorter (i.e. just over an hour), as they opened a new high speed train connection between the two cities. However, the train from Vilseck takes about 45 minutes, so that does not save you much (you can check out train times and cost on the website of the Deutsche Bahn ). On the other hand, the A9 is notorious for traffic jams and accidents, so you might be better off taking the train in any case.
Munich to Berlin would be about 7 or 8 hours by car, and also by train. Train transportation in Germany is actually pretty good compared to what other countries have to offer (even if people like to complain about late arrivals and whatnot). If you want to go exploring around Munich, they offer a weekend ticket for 5 people for 33 Euros - the catch is: You can only use slower trains, so it doesn’t really help you if you want to go far, but is good for shorter trips.
As to what is there to do in Munich, I’d echo those posters who said that it depends on what you like, there’s lots of attractions. You might want to check out this website (Toytown Munich), which offers English language suggestions of things to do. If you are keen to do the “slapping dance” (which is called “Schuhplatteln”, btw), you’ll probably be disappointed, though, as that is something mostly shown on American TV but not really practiced other than at touristy events (barring the occasional actual slapdance event in smaller villages). Pints in the pub seems like a good bet - actually, it’s “Halbe Hell” (half a liter of lager) in the Wirtshaus, if you want to go local.
Oh, and I would consider the firefighters here in the South really hard to join - they’re usually a pretty tight knit bunch, in terms of “my father and my father’s father used to be firefighters in this community”. Many of the divisions in the smaller towns are more like an excuse for guys to go somewhere on Friday nights and drink heavily; they might not be the most open people, but rather the more conservative Bavarians DMark described. (YMMV, no actual firefighters were harmed during this post)
I actually live in Munich, so if you have specific questions about events and such I’ll do my best to answer them, you can also drop me a PM or email me if you like.