1. Finnish belongs to the Finno-Ugric group of languages. Name one of the other two modern European languages belonging to this group.
I was looking for Hungarian (Magyar) and Estonian, but Sami (Lapp) is also listed in this family. In fact, there are ten different Sami languages listed, two of which are extinct.
Swedish is one of the Germanic languages in the Indo-European language family.
Basque isn't Finno-Ugric, but it's even more unusual. Wikipedia calls it a "language isolate, the last remaining pre-Indo-European language." In other words, it's really out there!
2. The 1952 Nobel Peace Prize was awarded to what Alsatian physician for his philosophy of "reverence for life", particularly for his work with a hospital that bears his name in Lambaréné, Gabon (formerly French Equatorial Africa)?
Albert Schweitzer.
3. An arm of the Baltic Sea, what gulf lies between the western coast of Finland and the eastern coast of Sweden?
Gulf of Bothnia. Sorry, this was a geographical WWOQ, not one of Jeopardy!'s "Stupid Answers".
The Gulf of Finland is the body of water between Finland's southern coast and Estonia's northern coast; St. Petersburg, Russia lies at the eastern end of the Gulf of Finland.
4. What Finnish classical composer is know for writing the symphonic poem Finlandia, as well as such works as the Karelia Suite, The Swan of Tuonela, and seven symphonies?
Jean Sibelius. Yes, this was one of those automatic Jeopardy! responses: "Finnish composer = Sibelius".
POINTS
A little more WWOQ pressure today results in only six perfect scores.

AnnieCamaro = 10
ulysses5019 = 10
andrewjackson = 10
tanstaafl2 = 10
Hambone = 10
plasticene = 10
wintergreen48 = 6
Here's Fanny! = 6
themanintheseersuckersuit = 6
kroxquo = 6
Catfish = 6
jsuchard = 6
mrkelley23 = 4
jarnon = 4
NellyLunatic1980 = 4
SportsFan68 = 4
elwoodblues = 4
LookingForHumorPoints = 3 (I didn't get the "lolcat = a language" reference.)
T_Bone0806 = 2
Rexer25 = 2