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The Bermuda dollar is linked to the U.S. dollar at 1 to 1, so your coin is worth 25 cents in either country.
10 cents toward postage if you use it on a letter mailed in Bermuda. Otherwise, less.
25 cents american
Face value only.
It is one dollar and 12 cents. (US money is accepted everywhere in Bermuda and is valued at face value. Bermuda also has their own 1 cent coin, which can only be used in Bermuda.)
One Bermuda cent. I assume that you didn't look at the rest of the coin to see what country it came from. Bermuda's cents carry an image of a hog.
25 cents
Roughly face value unless it's in exceptionally good condition.
It's still worth 50 cents.
A 1975 Roosevelt Dime has the following composition: outer layers of 0.75 copper and 0.25 nickel bonded to a core of pure copper; the overall composition is about 93% copper and 7% nickel. The coin weighs 2.27 grams.
75 cents
There were 1 Rand and 2 Rand coins minted in gold in 1975, and some were produced for proof sets. South Africa in 1975 sold three different proof sets: an 8-coin set (1/2 cent, 1 cent, 2 cents, 5 cents, 10 cents, 20 cents, 50 cent and 1 rand [silver]); a 2-coin set (the two gold coins); and a 10-coin set (all of the above). I would suggest looking on eBay (the KM numbers are KM#63 for the 1 Rand and KM#64 for the 2 Rand).